EPOXIDE-MODIFIED-SORBENTS, SYSTEMS INCLUDING EPOXIDE-MODIFIED- SORBENTS, AND METHODS USING THE EPOXIDE-MODIFIED-SORBENTS CLAIM OF PRIORITY TO RELATED APPLICATION This application claims priority to co-pending U.S. provisional application entitled “SORBENTS, SYSTEMS INCLUDING SORBENTS, AND METHODS USING THE SORBENTS” having Serial No.: 63/362,465 filed on April 5, 2022, which is entirely incorporated herein by reference. BACKGROUND Greenhouse gases trap heat in the atmosphere and carbon dioxide (CO ₂ ) is one of the main greenhouse gases. CO ₂ is emitted through human related activities such as transportation, electric power, industry and agriculture. In particular, CO ₂ emissions are caused by burning fossil fuels, solid waste, and trees as well as through the manufacture of cement and other materials. One way to decrease the amount of CO ₂ in the atmosphere is to capture CO ₂ using materials having an affinity for CO ₂ . There is a need for materials that can effectively capture CO ₂ . SUMMARY The present disclosure provides for sorbents, contactors, methods of using sorbents or contactors to capture CO ₂ , and systems and devices using the sorbents or contactors to capture CO ₂ . The present disclosure provides for a sorbent comprising: a CO ₂ -philic phase and a support, where the CO ₂ -philic phase includes the reaction product of 1,2-epoxyoctane and an amine. The present disclosure provides for a sorbent comprising: a CO ₂ -philic phase and a support, where the CO ₂ -philic phase includes a structure selected from the following two structures: , where R is a linear alkyl with 8 carbons. The present disclosure provides for a contactor, comprising a structure and a CO ₂ -philic phase, where the structure contains mesopores and macropores, where the CO ₂ -philic phase includes the reaction product of a linear aliphatic epoxide and an amine, where the CO ₂ -philic phase is contained within the mesopores of the structure, optionally the structure is selected from a honeycomb, a laminate sheet, a foam, fibers, a minimal surface solid, powder trays, pellets, or a combination of these. The present disclosure provides for a contactor, comprising a structure and a CO ₂ -philic phase, where the structure contains mesopores and macropores, where the CO ₂ -philic phase includes a structure selected from one of the two structures: , where R is a linear alkyl from 1 to 20 carbons, where the CO ₂ -philic phase is contained within the mesopores of the structure, optionally where the structure is selected from a honeycomb, a laminate sheet, a foam, fibers, a minimal surface solid, powder trays, pellets, or a combination of these. The present disclosure provides for a system for capturing CO ₂ from a gas, optionally the gas is ambient air, comprising: a first device configured to introduce the gas to the sorbent or contactor as described above or herein to bind CO ₂ to the CO ₂ -philic phase contained within the contactor; a second device configured to heat the CO ₂ -philic phase contained within the contactor containing bound CO ₂ to at least a first temperature to release the CO ₂ ; and a third device configured to collect the released CO ₂ . The present disclosure provides for a method for removing CO ₂ from a gas stream, the method comprising: contacting a gas stream with the contactor as described above or herein; removing CO ₂ from the gas stream by sorbing CO ₂ using the CO ₂ -phliic phase as the gas stream flows through or across the structure; and removing the sorbed CO ₂ from the CO ₂ -philic phase by heating the contactor to about 60 °C to 130 °C. The present disclosure provides for a system for implement the method as described above or herein. BRIEF DESCRIPTION OF THE DRAWINGS Further aspects of the present disclosure will be more readily appreciated upon review of the detailed description of its various embodiments, described below, when taken in conjunction with the accompanying drawings. Figure 1A shows a schematic of how amine moieties bind CO ₂ into the form of a carbamate. Figure 1B illustrates the structures that can result from the reaction product of an amine and a linear aliphatic epoxide. Figure 1C is a schematic of a sorbent system comprised of support and CO ₂ -philic phase. Together, the support and CO ₂ -philic phase comprise a sorbent. Figure 2 is a schematic of honeycomb monolith contactor comprised of a substrate and a sorbent washcoat. Figure 3 is a schematic illustrating the analysis methodology for sorbents created with improved CO ₂ -philic phase. Figure 4 illustrates ¹ H NMR spectra of PEI (top) and PEI reacted with epoxyoctane (bottom) at 0.5 mole epoxide/mol PEI. Figure 5 illustrates FTIR spectra of sorbents created with improved CO ₂ -philic phases comprised of PEI functionalized with epoxyhexane impregnated into a mesoporous alumina at a varied ratio of epoxyhexane to PEI ranging from 0.1 to 0.8 mol/mol. Molecular structure figures show resultant structures for reaction of epoxyhexane and PEI to form secondary (left) and tertiary (right) amines with the pendant hexanol groups for reference. Figure 6 illustrate FTIR spectra of sorbents created with improved CO ₂ -philic phases comprised of PEI reacted with epoxyoctane impregnated into a mesoporous alumina at a varied ratio of epoxyoctane to PEI ranging from 0.1 to 0.8 mol/mol. Molecular structure figures show resultant structures for reaction of epoxyoctane and PEI to form secondary (left) and tertiary (right) amines with the pendant octanol groups for reference. Figure 7 illustrate FTIR spectra of sorbents created with improved CO ₂ -philic phases comprised of PEI reacted with epoxybutane impregnated into a mesoporous alumina at a varied ratio of epoxyoctane to PEI ranging from 0.1 to 0.8 mol/mol. Molecular structure figures shows resultant structures for reaction of epoxybutane and PEI to form secondary (left) and tertiary (right) amines with the pendant butanol groups for reference. Figures 8A and 8B illustrate pore size distributions (left Figure 8A) and N ₂ isotherms (right Figure 8B) of support alumina material, sorbent created with support alumina and unmodified PEI, and sorbent created with support alumina and improved CO ₂ -philic phase created by reacting PEI with epoxyoctane at 0.5 mol / mol. Figures 9A and 9B illustrates mass loss (Figure 9A) and DSC (Figure 9B) traces during a temperature ramp, burnoff experiment of support alumina material, sorbent created with support alumina and unmodified PEI, and sorbent created with support alumina and improved CO ₂ -philic phase created by reacting PEI with epoxyoctane at 0.5 mol / mol. Figure 10 illustrates transient temperature and mass change profiles from TGA CO ₂ uptake experiments at 400 ppm CO ₂ (DAC conditions) utilizing improved sorbents containing PEI reacted with epoxybutane (EB), epoxyhexane (EH), and epoxyoctane (EO) each at 0.5 mol epoxide / mol PEI, and all supported in a mesoporous alumina. Data for a sorbent utilizing unmodified PEI is shown for reference as well. Data are reported as amine efficiency (mol CO ₂ / mol N) to take into account the 4 different compositions of sorbent using epoxide of varied molecular weight. Figure 11 illustrates transient temperature and mass change profiles from TGA CO ₂ uptake experiments at 400 ppm CO ₂ (DAC conditions) utilizing improved sorbents containing PEI reacted with epoxyoctane each at 0.5 and 0.8 mol epoxide/mol PEI, and all supported in a mesoporous alumina. Data for a sorbent utilizing unmodified PEI is shown for reference as well. Data are reported as amine efficiency (mol CO ₂ /mol N) to take into account the different compositions of sorbent. Figures 12A to 12D illustrate the extent of oxidation over time of PEI, determined via the differential scanning calorimetry method described herein and discussed in the referenced publication (solid lines, DSC), and via the loss of amine efficiency (datapoints, AE) at (Figure 12A) 5%, (Figure 12B) 17%, and (Figure 12C) 30% O ₂ concentration; (Figure 12D) extent of oxidation with different PEI pore fillings. Figures 12A-12D are taken from Nezam et al, ACS Sustainable Chem. Eng., 2021, 9, 8477-8486. Figure 13 illustrates transient temperature and mass change profiles following an oxidative treatment at 120° C for 3h under 21% O ₂ . Profiles collected from TGA CO ₂ uptake experiments at 400 ppm CO ₂ (DAC conditions) utilizing improved sorbents containing PEI reacted with epoxybutane (EB), epoxyhexane (EH), and epoxyoctane (EO) each at 0.5 mol epoxide/mol PEI, and all supported in a mesoporous alumina. Data for a sorbent utilizing unmodified PEI is shown for reference as well. Data are reported as amine efficiency (mol CO ₂ /mol N) to take into account the different compositions of sorbent using epoxide of varied molecular weight. Figure 14 illustrates transient temperature and mass change profiles following an oxidative treatment at 120° C for 3h under 21% O ₂ . Profiles collected from TGA CO ₂ uptake experiments at 400 ppm CO ₂ (DAC conditions) utilizing improved sorbents containing PEI reacted with epoxyoctane at 0.5 and 0.8 mol epoxide/mol PEI, and all supported in a mesoporous alumina. Data for a sorbent utilizing unmodified PEI is shown for reference as well. Data are reported as amine efficiency (mol CO ₂ /mol N) to take into account the different compositions of sorbent using epoxide of varied molecular weight. Figure 15 illustrates DSC Heat flow curves collected under isothermal oxidative conditions of 137.5° C and 17% O ₂ for improved sorbents containing PEI reacted with epoxyoctane at 0.5 and 0.8 mol epoxide/mol PEI, and all supported in a mesoporous alumina. Data for a sorbent utilizing unmodified PEI is shown for reference. Figure 16 illustrates transient oxidation curves derived from DSC heat flow measurements collected under isothermal oxidative conditions of 137.5° C and 17% O ₂ for improved sorbents containing PEI reacted with epoxyoctane at 0.5 and 0.8 mol epoxide/mol PEI, and all supported in a mesoporous alumina. Data for a sorbent utilizing unmodified PEI is shown for reference. Figure 17 illustrates extent of oxidation curves derived from DSC heat flow measurements collected under isothermal oxidative conditions of 137.5° C and 17% O ₂ for improved sorbents containing PEI reacted with epichlorohydrin (EC), epoxybutane (EB), epoxyhexane (EH), and epoxyoctane (EO) at 0.5 mol epoxide/mol PEI, and all supported in a mesoporous alumina. Data for a sorbent utilizing unmodified PEI is shown for reference. Figure 18 illustrates extent of oxidation curves derived from DSC heat flow measurements collected under isothermal oxidative conditions of 125° C under 20% CO ₂ , 17% O ₂ balance N ₂ for improved sorbents containing PEI reacted with epoxybutane (EB) and epoxyoctane (EO) at 0.5 mol epoxide/mol PEI, and all supported in a mesoporous alumina. Data for a sorbent utilizing unmodified PEI is shown for reference. Figures 19A and 19B illustrate honeycomb monolith sorbent deactivation over time measured for PEI/Al ₂ O ₃ and functionalized PEI-based (0.5-PEI/Al ₂ O ₃ ) based sorbent at: (a)) 125° C, under 5% O ₂ dry oxidation and (b) humid condition at 120° C. Figure 20 illustrates temperature profiles from the DAC experimental device during the DAC experiments using honeycomb Monolith Sorbent with improved CO ₂ -philic phase over 13 cycles of adsorption and desorption. Temperatures are shown in degrees C. The purple line shows the temperature of the steam stored in a steam vessel. The black line shows the temperature of the honeycomb monolith inlet. The red line shows the temperature of the honeycomb monolith outlet. The teal line shows the temperature of the product. The blue line shows the temperature of the honeycomb monolith heating/cooling jacket inlet. The green line shows the temperature of the honeycomb monolith heating/cooling jacket outlet. Figure 21 illustrates pressure profiles from the DAC experimental device during the DAC experiments using Honeycomb Monolith Sorbent with improved CO ₂ -philic phase over 13 cycles of adsorption and desorption. Pressures are shown in bar (absolute). The purple line shows the pressure of the steam stored in a steam vessel. The black line shows the pressure at the monolith inlet. The red line shows the pressure at the monolith outlet. The blue line shows the pressure in the vacuum storage tank. The green line shows the pressure of the raw product gas. Figure 22 illustrates CO ₂ breakthrough curves during adsorption step of DAC Experiments using Honeycomb Monolith Sorbent with improved CO ₂ -philic phase. Breakthrough curves show the concentration of CO ₂ existing the honeycomb monolith as a function of time during the adsorption step of the process cycle. Breakthrough curves for 13 cycles are shown. DETAILED DISCLOSURE Embodiments of the present disclosure provide for sorbents, contactors, methods of using sorbents or contactors to capture CO ₂ , and systems and devices using the sorbents or contactors to capture CO ₂ . The methods, systems, contactors, and sorbents of the present disclosure can be advantageous over current technologies since they are relatively more robust and reduce the cost of capturing CO ₂ , in particular from ambient air. In an aspect, the present disclosure provides for sorbents and contactors having an improved CO ₂ -philic phase that has a greater resistance to oxidation. In an aspect, the CO ₂ -philic phase is created by the modification of an amine with a reactive molecule such as to form a modified amine. Before the present disclosure is described in greater detail, it is to be understood that this disclosure is not limited to particular embodiments described, and as such may, of course, vary. It is also to be understood that the terminology used herein is for the purpose of describing particular embodiments only, and is not intended to be limiting, since the scope of the present disclosure will be limited only by the appended claims. Where a range of values is provided, it is understood that each intervening value, to the tenth of the unit of the lower limit unless the context clearly dictates otherwise, between the upper and lower limit of that range and any other stated or intervening value in that stated range, is encompassed within the disclosure. The upper and lower limits of these smaller ranges may independently be included in the smaller ranges and are also encompassed within the disclosure, subject to any specifically excluded limit in the stated range. Where the stated range includes one or both of the limits, ranges excluding either or both of those included limits are also included in the disclosure. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs. Although any methods and materials similar or equivalent to those described herein can also be used in the practice or testing of the present disclosure, the preferred methods and materials are now described. As will be apparent to those of skill in the art upon reading this disclosure, each of the individual embodiments described and illustrated herein has discrete components and features which may be readily separated from or combined with the features of any of the other several embodiments without departing from the scope or spirit of the present disclosure. Any recited method can be carried out in the order of events recited or in any other order that is logically possible. Embodiments of the present disclosure will employ, unless otherwise indicated, techniques of chemistry, materials science, mechanical engineering, and the like, which are within the skill of the art. The following examples are put forth so as to provide those of ordinary skill in the art with a complete disclosure and description of how to perform the methods and use the probes disclosed and claimed herein. Efforts have been made to ensure accuracy with respect to numbers (e.g., amounts, temperature, etc.), but some errors and deviations should be accounted for. Unless indicated otherwise, parts are parts by volume, temperature is in °C, and pressure is at or near atmospheric. Standard temperature and pressure are defined as 20 °C and 1 atmosphere. Before the embodiments of the present disclosure are described in detail, it is to be understood that, unless otherwise indicated, the present disclosure is not limited to particular materials, reagents, reaction materials, manufacturing processes, or the like, as such can vary. It is also to be understood that the terminology used herein is for purposes of describing particular embodiments only, and is not intended to be limiting. It is also possible in the present disclosure that steps can be executed in different sequences where this is logically possible. It must be noted that, as used in the specification and the appended claims, the singular forms “a,” “an,” and “the” include plural referents unless the context clearly dictates otherwise. Thus, for example, reference to “a compound” includes a plurality of compounds. In this specification and in the claims that follow, reference will be made to a number of terms that shall be defined to have the following meanings unless a contrary intention is apparent. Discussion The present disclosure provides for sorbents and contactors, methods of using sorbents and contactors to capture CO ₂ , structures including the sorbent, and systems and devices using sorbents and contactors to capture CO ₂ . The present disclosure is directed to multiple types of sorbents and structures that will be described below and herein. In an aspect, the present disclosure provides for sorbents and contactors that include a CO ₂ -philic phase and a support, where the CO ₂ -philic phase includes a modified amine polymer that is the reaction product of an amine and a linear aliphatic epoxide, where the reaction product is also described herein. The CO ₂ -philic phase includes CO ₂ binding molecules. The CO ₂ binding molecules contain CO ₂ binding moieties. In an aspect, the modified amine polymer maintains high CO ₂ capacities relative to the unmodified amine polymer. In an aspect, the sorbents with the modified amine polymer lose less of the capacity to capture CO ₂ following oxidative exposures compared to sorbents created with the unmodified amine polymer, thereby creating an improved CO ₂ -philic phase with a longer commercial lifetime (e.g., a longer commercial lifetime such as about 10% or more, about 15% or more, about 20% or more, about 25% or more, about 30% or more, about 35% or more, about 10-50%, about 15 to 50%, about 20 to 50%, about 15 to 35%, or about 20 to 30% relative to CO ₂ -philic phase (e.g., PEI) without epoxide, where “or more” can be 50%, 100%, 200%, and the like). A structured support, also referred to as a formed support or as a structure, refers to a support that has been formed into a structure where the structure is, at standard conditions, a solid body. Supports can also be unstructured, at standard conditions having a powdery consistency. When a support is referred to without mention to a structure, forming, or being formed or structured, it can refer to supports that are either structured or unstructured. Structured supports can take the form of a homogeneous solid body (i.e., comprised predominantly of support but also containing components that allow it to remain a stable body at standard conditions) or as a coating on a substrate, whereby the substrate has a different composition than the coating and provides the mechanical stability to the coating. It can be useful to utilize a structured support with a CO ₂ -philic phase as a contactor in a process for removing CO ₂ from a gas stream such as ambient air. Contactors provide a geometry to a CO ₂ -philic phase such that considerations such as pressure drop, throughput, and/or mass transfer rates can be optimized. The CO ₂ binding molecules can be an amine or an amine polymer. The amine or amine polymer can contain primary amines, secondary amines, tertiary amines, or a mixture of any combination of primary, secondary, and tertiary amines. The amine polymer can be branched, hyperbranched, dendritic, or linear. The CO ₂ binding moieties are the amine moieties on the amine molecule or polymer. The amine moieties interact with CO ₂ to form carbamate, carbonate, or bicarbonate species. Figure 1A shows a schematic of how amine moieties can bind CO ₂ into the form of a carbamate. Primary amines are defined as having the chemical structure –NH ₂ R ¹ , where R ¹ is an alkyl group such as CH ₂ or CH ₃ . Secondary amines are defined as having the chemical structure –NHR ¹ R ² , where R ¹ and R ² are independently selected from an alkyl group such as CH ₂ or CH ₃ . Tertiary amines are defined as having the chemical structure –NR ¹ R ² R ³ , where R ¹ , R ² , and R ³ are independently selected from an alkyl group such as CH ₂ or CH ₃ . Linear amine polymers can be defined as containing only primary amines, secondary amines, or both primary and secondary amines. In an aspect, the linear amine polymer includes both primary and secondary amines. The ratio of secondary to primary amines can be about 0.5 to 10,000. In an aspect, the linear amine polymer can have a molecular weight of about 100 to 100,000 g/mol, about 200 to 30,000 g/mol or about 600 to 5,000 g/mol. Branched amine polymers can be defined as containing any number of primary, secondary, and tertiary amines, which does not overlap linear amine polymers or dendritic amine polymers. The ratio of primary, secondary, and tertiary can be about 10:80:10 to 60:10:30, about 60:30:10 to 30:50:20, or about 45:45:10 to 35:45:20. As one of skill would understand, the chemical structures of branched amine polymer can vary greatly and can be very complex. In an aspect, the branched amine polymer can have a molecular weight of about 100 to 100,000 g/mol, about 200 to 30,000 g/mol or about 600 to 5,000 g/mol. Dendritic amine polymers can be defined as containing only primary and tertiary amines, where groups of repeat units are arranged in a manner that is necessarily symmetric in at least one plane through the center (core) of the molecule, where each polymer branch is terminated by a primary amine, and where each branching point is a tertiary amine. The core or central linkage is the same as the branching amines (e.g., ethylenimine core and ethylenimine branches, propylenimine core and propylenimine branches). The ratio of primary to tertiary can be about 1 to 3. In an aspect, the dendritic amine polymer can have a molecular weight of about 100 to 100,000 g/mol, about 200 to 30,000 g/mol or about 280 to 3,000. Hyperbranched amine polymers can be defined as having chemical structure resembling dendritic amine polymer but contain defects in the form of secondary amines (e.g., linear subsections as would exist in a branched polymer), in such a way that provides a random chemical structure instead of a symmetric chemical structure. The hyperbranched amine polymers do not overlap branch amine polymers or dendritic polymers. In a hyperbranched chemical structure, the ratio of primary to secondary to tertiary can be about 65:5:30 to 30:10:60. In an aspect, the hyperbranched amine polymer can have a molecular weight of about 100 to 100,000 g/mol, about 200 to 30,000 g/mol or about 600 to 10,000 g/mol. In an aspect, linear, hyperbranched and branched amine polymers have secondary amines and dendritic amines do not, which may be advantageous since secondary amines bond strongly to CO ₂ . In an aspect, the amine polymer can be polyethylenimine, polypropylenimine, polyallylamine, polyvinylamine, polyglycidylamine, polystyrene-divinylbenzene polymer functionalized with amine such as alkylbenzylamine moieties, or other amine polymer, where each can be branched, hyperbranched, dendritic, or linear.   In an embodiment, the size (e.g., length, molecular weight), amount (e.g., number of distinct amine polymers), and/or type of amine polymer, can be selected based on the desired characteristics of the porous structure (e.g., CO ₂ absorption, regenerative properties, oxidative stability, loading, and the like). In an aspect, the modified amine polymer can contain primary amines, secondary amines, tertiary amines or a mixture of any combination of primary, secondary, and tertiary amines, each of which is defined above. In an embodiment, the amine polymer of the modified amine polymer that is the reaction product of an amine and a linear aliphatic epoxide is a primary amine and the linear aliphatic epoxide is an alkyl (e.g., linear or branched C1-C20 or linear or branched C1-C10) epoxide. The modified amine polymer can be branched, hyperbranched, dendritic, or linear, each of which is defined above. The modified amine polymer can have the following structure: a 1-amino-2-alkylalcohol. The amine can be primary or secondary before the reaction, such as to form a secondary or tertiary amine. The aklylalcohol can be a linear alkyl chain, C1-C20 in length. Illustrative structures are shown in Fig.1B. In an aspect, R can be a linear or branched alkyl from 1 to 20 carbons or 1 to 10 carbons or 2 to 10 carbons or 2 to 10 carbons. In another aspect, R can be a linear alkyl from 1 to 20 carbons or 1 to 10 carbons or 2 to 10 carbons or 2 to 10 carbons. While a particular embodiment of the modified amine polymer that is the reaction product of an amine and a linear aliphatic epoxide can be referred to as a 1-amino-2-alkylalcohol, an alternative nomenclature can be 1,2-alkanolamine, regardless the structure is illustrated above. In an aspect, the modified amine polymer can be a modified polyethylenimine, a modified polypropylenimine, a modified polyallylamine, a modified polyvinylamine, a modified polyglycidylamine, a modified polystyrene-divinylbenzene polymer functionalized with amine such as alkylbenzylamine moieties, or other a modified amine polymers, where in each the modified amine polymer can be branched, hyperbranched, dendritic, or linear, each of which is defined above and herein. In an aspect, the fraction of amines modified according to the description herein can be 0.001 to 1 or 0.01 to 1 or 0.1 to 1 or 0.5 to 1 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines, or a fraction of about 0.01 to 0.5 amines in the amine polymer. In an aspect, the CO ₂ -philic phase includes a modified amine polymer that is the reaction product of an amine and a linear aliphatic epoxide. The linear aliphatic epoxide that reacts with an amine can include one or more of the following: 1,2-epoxyethane, 1,2-epoxypropane, 1,2- epoxybutane, 1,2-epoxybutane, 1,2-epoxypentane, 1,2,-epoxyhexane, 1,2,-epoxyheptane, 1,2,- epoxyoctane, 1,2-epoxynonane, 1,2-epoxydecane, 1,2,-epoxyundecane, 1,2-epoxydodecane, 1,2-epoxytridecane, 1,2-epoxytetradecane, 1,2-epoxypentadecane, 1,2-epoxyhexadecane, 1,2- epoxyheptadecane, 1,2-epoxyoctadecane, 1,2-epoxynonadecane, 1,2-epoxyeicosane. The structure of the reaction product can be a structure as described above. In an aspect, the CO ₂ -philic phase includes a modified amine polymer that can include an alkyl epoxide such as 1-amino-2-ethanol, 1-amino-2-propanol, 1-amino-2-butanol, 1-amino- 2-pentanol, 1-amino-2-hexanol, 1-amino-2-heptanol, 1-amino-2-octanol, 1-amino-2-nonanol, 1- amino-2-decanol, 1-amino-2-undecanol, 1-amino-2-dodecanol, 1-amino-2-tridecanol, 1-amino- 2-tetradecanol, 1-amino-2-pentadecanol, 1-amino-2-hexadecanol, 1-amino-2-heptadecanol, 1- amino-2-octadecanol, 1-amino-2-nonadecanol, 1-amino-2-eicosanol. The structure of the reaction product can be a structure as described above. Although not intending to be bound by theory, the CO ₂ -philic phase modified by the reaction with the linear aliphatic epoxide allows for the ability to tune the properties of the CO ₂ - philic phase. The amount, type, and mixture quantity of modifier can be tuned and changed to achieve the desired properties of the CO ₂ -philic phase. In an aspect, it is advantageous to improve the stability of the CO ₂ -philic phase to process conditions relevant to use of the sorbent in a CO ₂ separation process, particularly during sorbent regeneration (process cycles that raise the temperature of the sorbent to remove bound CO ₂ ). It is also advantageous to improve the stability of the CO ₂ -philic phase to conditions relevant to storage of sorbents when they are not being utilized in a process or plant. Sorbents that have a CO ₂ -philic phase with improved stability with respect to process conditions including sorbent regeneration, storage, or both process conditions including sorbent regeneration and storage are valuable. Evaluating the oxidative stability of materials in environments that contain oxygen and CO ₂ is useful due to the fact that during regeneration processes, desorbed CO ₂ is present at different concentrations in addition to oxygen at elevated temperatures, and can impact the stability of the material. Separately, evaluating the oxidative stability of materials with oxygen only (air) is a useful way to evaluate the shelf life of a material when it is stored at ambient conditions. As described above and herein, the CO ₂ -philic phase (e.g., the CO2 binding molecules) can be homogeneous or heterogeneous. When the CO ₂ -philic phase is heterogeneous, the CO ₂ binding molecules can be present in a variety of ways. For example, the CO ₂ binding molecules can be applied or incorporated to form a layer of the CO2-philic phase on a support, such as on the surface of pores of the support. In another aspect, independent of or used in combination with other aspects such as those described above, the CO2 binding molecules can be used to form a part of or all of the support, where CO2-philic phase functions as described herein. Various combinations are contemplated and are part of the present disclosure. Additional ways in which to apply, use, or incorporate the CO2-philic phase homogeneously and/or heterogeneously are described herein and below. A ^{s described herein, the sorbent includes the CO} ₂ ^{-philic phase} _{(e.g., the CO2 binding molecules)} ^{and the support. The support includes a surface (e.g., a surface that can be} exposed to a gas including CO ₂ during regular use and/or that can interact with the CO ₂ -philic phase). The surface can be the surface of pores and/or other surfaces that the CO ₂ -philic phase contacts or interacts with. In an aspect, the CO ₂ -philic phase (e.g., the CO2 binding molecules) can be disposed on and/or within a support to form a sorbent. The CO ₂ -philic phase can be disposed on the surface of the support, and/or within pores of the support, and/or on exterior surface of a support or any combination thereof. In an aspect, the CO ₂ -philic phase can be a coating on the surface of the porous material, a monolayer on the surface of the porous material, a self-assembled monolayer on the surface of the porous material, a bulk phase within the pores of the porous material, a coating on the exterior surface of the porous material, and the like. In an aspect, the support can be made of one or more types of materials such as ceramic, metal, metal oxide, plastic, cellulose, carbon, a zeolite, a metal organic framework (MOF), a porous organic framework (POF), a covenant organic framework (COF), a polymers of intrinsic microporosity (PIM), a polymer, a fibrous cellulose, fiberglass, boron-nitride fiber, and the like. In another aspect, the support can be made of materials that also include the CO ₂ - philic phase. The metal oxide support can be selected from cordierite, alumina (e.g., γ-alumina, θ- alumina, δ-alumina), cordierite-α-alumina, silica, aluminosilicates, zirconia, germania, magnesia, titania, hafnia, silicon nitride, zircon mullite, spodumene, alumina-silica magnesia, zircon silicate, sillimanite, magnesium silicates, zircon, petalite, and combinations thereof. In cases where the oxide contains a formal charge, the charge can be balanced by appropriate counter-ions, such as cations of NR ₄ , Na, K, Ca, Mg, Li, H, Rb, Sr, Ba, Cs or anions including phosphate, phosphite, sulfate, sulfate, nitrate, nitrite, chloride, bromide and the like. The metal oxide can contain dopants such as zirconium, iron, tin, silicon, titanium, magnesium, and combinations thereof. It is known that metal oxides can contain acid, base, and neutral sites on their surfaces and that dopants can alter the amount and strength of acid and base sites on the surfaces. In an aspect, the polymer support can be a polymer and/or copolymer of polyolefin(s), polyester(s), polyurethane(s), polycarbonate(s), polyetheretherketone(s), polyphenylene oxide(s), polyether sulfone(s), melamine(s), polyamide(s), polyvinylbenzene, polystyrene- divinylbenzene, polyurethane, polyacrylates, polystyrenes, polyacrylonitriles, polyimides, polyfurfural alcohol, phenol furfuryl alcohol, melamine formaldehydes, resorcinol formaldehydes, cresol formaldehyde, phenol formaldehyde, polyvinyl alcohol dialdehyde, polycyanurates, polyacrylamides, various epoxies, agar, and agarose, or combinations thereof. The support can be porous (e.g., macroporous, mesoporous, microporous, or mixtures thereof (e.g., where a macroporous surface can include mesopores, and/or micropores, within one or more of the macropores, where a mesoporous surface can include micropores, and so on)). In an aspect, the porous structure is mesoporous. The pores can extend through the porous structure or porous layer or only extend to a certain depth. The macropores of the porous structure can have pores having a diameter of about 100 nm to 10,000 nm, a length of about 500 nm to 100,000 nm and a volume of 0.2-1 cc/g. The mesopores of the porous structure can have pores having a diameter of about 5 nm to 100 nm, a length of about 10 nm to 10,000 nm, and a volume of 0.1-2 cc/g. The micropores of the porous structure can have pores having a diameter of about 0.5 to 5 nm, a length of about 0.5 nm to 1000 nm and a volume of about 0.1-1 cc/g. The support can be porous and have a porosity of at least 90%, at least 85%, at least 80%, at least 75%, at least 70%, at least 65%, at least 60%, or about 60 to 90% or 60 to 80% or 60 to 70%. In some embodiments, the support can have a surface area of 1 m ² /g or more, 10 m ² /g or more, 100 m ² /g or more, 150 m ² /g or more, 200 m ² /g or more, or 250 m ² /g or more, 500 m ² /g or more, 1000 m ² /g or more or about 1 m ² /g to 10,000 m ² /g or 10 m ² /g to 10,000 m ² /g or 100 m ² /g to 10,000 m ² /g or 500 m ² /g to 10,000 m ² /g or 100 m ² /g to 10,000 m ² /g.   In an embodiment, the CO2-philic phase (e.g., the CO2 binding molecules) can be physically impregnated in the internal volume pores of the porous structure and not covalently bonded to the internal surface of the pores of the porous structure, can be grafted (e.g., covalently bonded directly or indirectly) to the internal surface of the pores of the porous structure, or a combination thereof. In an embodiment, the CO2-philic phase (e.g., the CO2 binding molecules) can be covalently bonded (e.g., directly to the surface or via a linker group) to the surface of the material, which may include the internal surface of pores for a porous layer or porous structure. In an aspect, the covalent bonding can be achieved using known techniques in the art for bonding sorbents. In regard to the CO2-philic phase (e.g., the CO2 binding molecules) being physically impregnated in the pores of the porous structure and not covalently bonded to the internal surface of the pores of the porous structure, the CO2-philic phase (e.g., the CO2 binding molecules) can be confined within the pores of the support, but not bonded to the surface. In yet another embodiment, the CO2-philic phase (e.g., the CO2 binding molecules) is present in a plurality of pores (internal volume) of the porous structure (“porous structure” can include a structure having pores in its surface or a structure having a porous layer or coating on the surface of the structure (where the structure itself may or may not be porous)), where the CO2-philic phase has a loading of about 10% to 75% by weight of the support. In regard to the loading, the loading is determined by thermogravimetric analysis (TGA).    In an embodiment, the support can include a surface layer on the surface of the pores of the support that can bond with the CO ₂ -philic phase. In an aspect, the surface layer can include organically modified moieties (e.g., alkyl groups, amines, thiols, phosphines, and the like) on the surface (e.g., outside and/or inside surfaces of pores) of the material. In an embodiment, the surface layer can include surface alkyl groups, amines, thiols, phosphines, and the like, that the CO ₂ -philic phase can directly covalently bond and/or indirectly covalently bond (e.g., covalently bond to a linker covalently bonded to the material). In an embodiment, the surface layer can include an organic polymer having one or more of the following groups: alkyl groups, amines, thiols, phosphines, and the like. In another embodiment, the structure can be a carbon support, where the carbon support can include one or more of the following groups: alkyl groups, amines, thiols, phosphines, and the like. In an embodiment, the CO ₂ -philic phase can occupy about 10 to 100% of the mesopore volume of the support or can occupy about 30 to 90% of the mesopore volume of the support, or can occupy about 40 to 80% of the mesopore volume of the support, or can occupy about 50 to 70% of the mesopore volume of the support. The process of making a formed support or structure described above and herein can be used to create any of the structures listed in this paragraph and those in the following paragraphs. The sorbent, comprising the CO ₂ -philic phase and the support, can be formed into or applied to a structure. In an aspect, the CO ₂ -philic phase and the support can form 100% of the structure or less than 100% (e.g., each combination of ranges between about 10%, about 20%, about 30%, about 40%, about 50% and about 60%, about 70%, about 80%, about 90%, about 99% such as about 10 to 99%, about 10 to 80%, about 10 to 50%, about 50 to 99%, about 50 to 90%, about 50 to 80%), where a sufficient amount of sorbent is on the surface of the structure to absorb the desired amount of CO ₂ . In an aspect, the structure can be a honeycomb, a laminate sheet, a foam, fibers, minimal surface solids, powder trays, pellets, powder, and the like or a combination of two or more of the foregoing. In an aspect, the structure can be porous and have a porosity of at least 90%, at least 85%, at least 80%, at least 75%, at least 70%, at least 65%, at least 60%, or about 60 to 90%. In an aspect, the porosity of the structure can be comprised of macropores, mesopores, and/or micropores. In an aspect, the CO ₂ -philic phase is predominantly (e.g., about 40 to 100% or about 50 to 90%, or about 60 to 80%) located within the mesopores of the structure. In an aspect, the structure can be comprised entirely of sorbent or can contain another substrate material such as ceramic, metal, metal oxide, plastic or another material. The structure can be a porous substrate and can also include a porous coating on some or all parts of the porous substrate, where the CO ₂ -philic phase can be present in the pores of one or both of the porous substrate and the porous coating. W _{hen the structure is comprised entirely of sorbent} ^{(e.g., CO} ₂ ^{binding molecules and a} support), it can be formed by extrusion, molding, 3D printing, and the like, for example. The structure can be formed using support material without the CO ₂ -philic phase or using the support with the CO ₂ -philic phase already incorporated. When formed without using the CO ₂ - philic phase, the CO ₂ -philic phase can be incorporated into the structure through an impregnation, grafting, or other functionalization technique. In a particular aspect, the support material can be applied to a substrate as a porous coating (also referred to as a “washcoat”) on the surface of the substrate. In an embodiment, the porous coating can be a foam such as a polymeric foam (e.g., polyurethane foam, a polypropylene foam, a polyester foam, and the like), a metal foam, or a ceramic foam. The porous coating can include a metal-oxide layer (e.g., such as a foam). The metal-oxide layer can be silica or alumina on the surface of the substrate, for example. The porous coating can be present on the surface of the substrate, within the pores or voids of the substrate, or a combination thereof. The porous coating can be about 50 µm to 1500 µm thick and the pores can be of the dimension described above and herein. In an aspect, the support material, the substrate, and/or the structure can be made of a ceramic substrate such as cordierite, alumina (e.g., γ-alumina, θ-alumina, δ-alumina), cordierite- α-alumina, silica, aluminosilicates, zirconia, germania, magnesia, titania, hafnia, silicon nitride, zircon mullite, spodumene, alumina-silica magnesia, zircon silicate, sillimanite, magnesium silicates, zircon, petalite, and combinations thereof. The metal or metal oxide structure can be aluminum, titanium, stainless steel, a Fe-Cr alloy, or a Cr-Al-Fe alloy. In cases where the oxide contains a formal charge, the charge can be balanced by appropriate counter-ions, such as cations of NR ₄ , Na, K, Ca, Mg, Li, H, Rb, Sr, Ba, Cs or anions including phosphate, phosphite, sulfate, sulfate, nitrate, nitrite, chloride, bromide and the like. In an aspect, the support material, the substrate, and/or the structure can be made of a plastic substrate that can be made of a polymer and/or copolymer of polyolefin(s), polyester(s), polyurethane(s), polycarbonate(s), polyetheretherketone(s), polyphenylene oxide(s), polyether sulfone(s), melamine(s), polyamide(s), polyvinylbenzene, polystyrene-divinylbenzene, polyurethane, polyacrylates, polystyrenes, polyacrylonitriles, polyimides, polyfurfural alcohol, phenol furfuryl alcohol, melamine formaldehydes, resorcinol formaldehydes, cresol formaldehyde, phenol formaldehyde, polyvinyl alcohol dialdehyde, polycyanurates, polyacrylamides, various epoxies, agar, and agarose, or combinations thereof. In an embodiment, the structure can be a honeycomb structure such as a honeycomb monolith structure that includes channels. The honeycomb structure can have a regular, corrugated structure. The honeycomb monolith structure can have a length and width on the order of centimeters to meters while the thickness can be on the order of millimeters to centimeters or more. In an aspect, the honeycomb monolith structure does not have fibrous dimensions. In other words, the honeycomb structure can be a flow-through substrate comprising open channels defined by walls of the channels. The channels can have about 50 to about 900 cells per square inch. The channels can be polygonal (e.g., square, triangular, hexagonal, octagonal) sinusoidal, circular, or the like, in cross-section. Along the length of the channel, the channel length can have a configuration that is straight, zig-zag, skewed, or herringbone in shape. The length of the channel can be 1 mm to 10s or 100s of cm or more. The channels can have walls that are perforated or louvered. In an aspect, the sorbent can be disposed in the pores of the honeycomb structure and/or in the pores of a porous layer on the surface of the honeycomb structure. The honeycomb structure can have a geometric void fraction, otherwise known as the open face area, of between 0.3 to 0.95 or about 0.5 to 0.9. In an embodiment, the honeycomb structure can comprise an inlet end, an outlet end, and inner channels extending from the inlet end to the outlet end. In some embodiments, the honeycomb comprises a multiplicity of cells extending from the inlet end to the outlet end, the cells being defined by intersecting cell or channel walls. In an aspect, the honeycomb structure and/or substrate can be ceramic (e.g., of a type produced by Corning under the trademark Celcor®) that can be used with the sorbent in accordance with the principles of the present disclosure. The sorbent can be coated or otherwise immobilized on the inside of the pores of the ceramic honeycomb structure and/or within a porous layer on the surface of the ceramic honeycomb structure. In an aspect, the porous coating can include a metal-oxide layer such as silica or alumina on the surface of the substrate. In an embodiment, the metal-oxide layer can be mesoporous and macroporous. The honeycomb monolith may have a depth of 3 inches to 10 feet or about 3 and 24 inches. In an aspect, the structure can be laminate sheets. Laminate sheets are structures containing a one-dimensional wall structure, whereby sheets are stacked upon one and other with space in between each sheet such that gas can flow between the sheets. In an aspect, the structure can be a foam. Foams are structures with an irregular channel structure surrounded by an irregular solid structure. The solid structure is interconnected such that the foam material is self-standing. In an aspect, the structure can be a plurality of fibers. Fibers are structures with high aspect ratio, and in gas contacting applications can be arranged in a regular array amongst one another when supported at least on one end of the fiber. The fibers can be solid or hollow. In an aspect, the structure can be a minimal surface solid. Minimal surface solids are structures often used in packing for distillation and absorption systems to increase contact area with a material and a fluid. Minimal surface area solids are geometries that have zero mean surface area and include shapes such as gyroids. Gyroids can be sinusoidal, for example. In an aspect, the structure can be a powder tray. Powder trays are structures whereby trays hold loose powder or pellets of the sorbent of the present disclosure to form a structured contactor without the material forming a self-standing structure by itself. Powder trays can be arranged in stacked layers to form sheets thereby forming a structure similar to a laminate. These layers can be created using flexible sheets, stiff sheets, or other flat surface that is mounted on a stiff frame structure. Powders are loose, free flowing solids with small characteristic particle diameter such as to provide a powdery consistency. Pellets are beads, balls, or other compacted structures used to provide structure and surface area to sorbents In an aspect, the structure can be sorbent particle volumes. Sorbent particle volumes can be contained by one or more walls such that gas can pass through them while keeping the sorbent contained. Sorbent particle volumes can be arranged relative to other sorbent particle volumes such as to approximate a honeycomb, fiber, or other structured contactor with a solid body. In an aspect, the sorbent (e.g., structure) in the form of a contactor is an efficient embodiment for an effective method for capturing CO ₂ from ambient air or other gas mixtures (e.g., flue gas, exhaust gas, natural gas, or other gasses containing CO ₂ ) because a structured contactor, or a contactor, can be engineered to provide high surface area and low pressure drop for the gas processing. Contactors can take the forms described of a honeycomb, a laminate sheet, a foam, fibers, minimal surface solids, powder trays, pellets, powder, and the like or a combination of two or more of the foregoing. Now having described embodiments of the sorbent and structure including the sorbent, details regarding the systems and methods of the present disclosure are provided. The present disclosure provides for methods of capturing CO ₂ from ambient air or other gas mixtures (e.g., flue gas, exhaust gas, natural gas, or other gasses containing CO ₂ ). The method includes introducing the ambient air to the sorbent (e.g., structure), heating the sorbent (e.g., about 10 to 200° C above the regular sorbent temperature to absorb the CO ₂ ) to at least a first temperature to controllably release the CO ₂ ; and collecting the CO ₂ in a CO ₂ collection device. The temperature increase in the sorbent can be performed by contacting the sorbent with a gas at elevated temperature, contacting the sorbent with a fluid at an elevated temperature, contacting the sorbent with a heat exchanger with hot fluid or gas running through it, by heating the walls of the container, vessel, or other containment device that contains the sorbent, or by contacting the sorbent with steam (e.g., the steam may be at a temperature between 60 to 200° C, and be saturated or superheated). In an aspect, the method can be implemented using the system described below. The present disclosure provides for systems and devices for capturing CO ₂ from ambient air or other gas mixtures (e.g., flue gas, exhaust gas, natural gas, or other gasses containing CO ₂ ) where removal of CO ₂ is important. In general, the system includes a first device configured to introduce the ambient air or other gas mixture to the sorbent or contactor, where the sorbent or contactor includes those described herein. The sorbent or contactor is exposed to the ambient air or other gas mixture for a period of time (e.g., hours). In a particular aspect, the sorbent or contactor is a honeycomb monolith that has an open face area of between 0.3- 0.95. The first device is configured to deliver the ambient air, for example, to the honeycomb monolith at a velocity of between 0.25-10 m/s. After the desired amount of time, a second device configured to heat the sorbent or contactor containing bound CO ₂ to at least a first temperature (e.g., about 40 to 200° C, about 50 to 200° C, about 60 to 200° C) to release the CO ₂ . The second device of the system can operate to desorb CO ₂ by the sorbent or contactor. The second device can include components to support temperature swing, pressure swing, steam swing, concentration swing, combinations thereof, or other dynamic processes to desorb the CO ₂ . In an embodiment, the steam swing process can include exposing the sorbent or contactor to steam, where the temperature of the steam is about 60° C to 150° C and the pressure of the steam is about 0.2 bara to 5 bara. A third device is configured to collect the released CO ₂ . The system can be operated so that the sorbent or contactor absorbs and desorbs the CO ₂ in an efficient and cost-effective manner. Aspects of the present disclosure can be described below. A sorbent comprising: a CO ₂ -philic phase and a support, wherein the CO ₂ -philic phase includes the reaction product of 1,2-epoxyoctane and an amine. The amine is an amine polymer. The amine polymer can be branched, hyperbranched, dendritic, or linear. The amine polymer is one of polyethylenimine, polypropylenimine, polyallylamine, polyvinylamine, polyglycidylamine, or polystyrene-divinylbenzene polymer functionalized with amine, or other amine polymers. The CO ₂ -philic phase is homogeneous or heterogeneous. The fraction of amines modified by reaction with 1,2-epoxyoctane is about 0.001 to 1 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The fraction of amines modified by reaction with 1,2-epoxyoctane is about 0.01 to 0.5 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The amine polymer is physically impregnated into pores of the support. The amine polymer is physically impregnated onto the surface of the support. The amine polymer is covalently bonded to the surface of the support. The CO ₂ -philic phase includes a 1-amino-2-alkylalcohol, wherein the alkyl is a linear alkyl with 8 carbons. The CO ₂ -philic phase includes a structure selected from the following two structures: , where R is a linear alkyl with 8 carbons. The CO ₂ -philic phase is 1-amino-2-octanol. The support is ceramic, metal, metal oxide, plastic, cellulose, carbon, a zeolite, a metal organic framework (MOF), a porous organic framework (POF), a covenant organic framework (COF), a polymer of intrinsic microporosity (PIM), a polymer, a fibrous cellulose, fiberglass, or boron-nitride fiber. A sorbent comprising: a CO ₂ -philic phase and a support, wherein the CO ₂ -philic phase includes a structure selected from the following two structures: , where R is a linear alkyl with 8 carbons. The amine is an amine polymer. The amine polymer can be branched, hyperbranched, dendritic, or linear. The amine polymer is one of polyethylenimine, polypropylenimine, polyallylamine, polyvinylamine, polyglycidylamine, or polystyrene- divinylbenzene polymer functionalized with amine, or other amine polymers. The CO ₂ -philic phase is homogeneous or heterogeneous. The fraction of amines modified by reaction with 1,2- epoxyoctane is about 0.001 to 1 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The fraction of amines modified by reaction with 1,2-epoxyoctane is about 0.01 to 0.5 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The amine polymer is physically impregnated into pores of the support. The amine polymer is physically impregnated onto the surface of the support. The amine polymer is covalently bonded to the surface of the support. The CO ₂ -philic phase includes a 1-amino-2- alkylalcohol, wherein the alkyl is a linear alkyl with 8 carbons. The CO ₂ -philic phase is 1-amino- 2-octanol. The support is ceramic, metal, metal oxide, plastic, cellulose, carbon, a zeolite, a metal organic framework (MOF), a porous organic framework (POF), a covenant organic framework (COF), a polymer of intrinsic microporosity (PIM), a polymer, a fibrous cellulose, fiberglass, or boron-nitride fiber. A sorbent comprising: a CO ₂ -philic phase and a support, wherein the CO ₂ -philic phase includes the reaction product of linear aliphatic epoxide and an amine. The amine is an amine polymer. The amine polymer can be branched, hyperbranched, dendritic, or linear. The amine polymer is one of polyethylenimine, polypropylenimine, polyallylamine, polyvinylamine, polyglycidylamine, or polystyrene-divinylbenzene polymer functionalized with amine, or other amine polymers. The CO ₂ -philic phase is homogeneous or heterogeneous. The fraction of amines modified by reaction with linear aliphatic epoxide is about 0.001 to 1 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The fraction of amines modified by reaction with linear aliphatic epoxide is about 0.01 to 0.5 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The amine polymer is physically impregnated into pores of the support. The amine polymer is physically impregnated onto the surface of the support. The amine polymer is covalently bonded to the surface of the support. The CO ₂ -philic phase includes a 1-amino-2-alkylalcohol, wherein the alkyl is a linear alkyl with 1 to 20 carbons. The CO ₂ -philic phase includes a structure selected from the following two structures: , where R is a linear alkyl with 1-20 carbons. The CO ₂ -philic phase is 1-amino-2-ethanol, 1-amino-2-propanol, 1-amino-2- butanol, 1-amino-2-pentanol, 1-amino-2-hexanol, 1-amino-2-heptanol, 1-amino-2-octanol, 1- amino-2-nonanol, 1-amino-2-decanol, 1-amino-2-undecanol, 1-amino-2-dodecanol, 1-amino-2- tridecanol, 1-amino-2-tetradecanol, 1-amino-2-pentadecanol, 1-amino-2-hexadecanol, 1-amino- 2-heptadecanol, 1-amino-2-octadecanol, 1-amino-2-nonadecanol, or 1-amino-2-eicosanol. The support is ceramic, metal, metal oxide, plastic, cellulose, carbon, a zeolite, a metal organic framework (MOF), a porous organic framework (POF), a covenant organic framework (COF), a polymer of intrinsic microporosity (PIM), a polymer, a fibrous cellulose, fiberglass, or boron- nitride fiber. A sorbent comprising: a CO ₂ -philic phase and a support, wherein the CO ₂ -philic phase includes a structure selected from the following two structures: , where R is a linear alkyl with 1-10 carbons. The amine is an amine polymer. The amine polymer can be branched, hyperbranched, dendritic, or linear. The amine polymer is one of polyethylenimine, polypropylenimine, polyallylamine, polyvinylamine, polyglycidylamine, or polystyrene- divinylbenzene polymer functionalized with amine, or other amine polymers. The CO ₂ -philic phase is homogeneous or heterogeneous. The fraction of amines modified by reaction with linear aliphatic epoxide is about 0.001 to 1 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The fraction of amines modified by reaction with linear aliphatic epoxide is about 0.01 to 0.5 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The amine polymer is physically impregnated into pores of the support. The amine polymer is physically impregnated onto the surface of the support. The amine polymer is covalently bonded to the surface of the support. The CO ₂ -philic phase includes a 1-amino-2- alkylalcohol, wherein the alkyl is a linear alkyl with 1 to 10 carbons. The CO ₂ -philic phase is 1- amino-2-ethanol, 1-amino-2-propanol, 1-amino-2-butanol, 1-amino-2-pentanol, 1-amino-2- hexanol, 1-amino-2-heptanol, 1-amino-2-octanol, 1-amino-2-nonanol, 1-amino-2-decanol . The support is ceramic, metal, metal oxide, plastic, cellulose, carbon, a zeolite, a metal organic framework (MOF), a porous organic framework (POF), a covenant organic framework (COF), a polymer of intrinsic microporosity (PIM), a polymer, a fibrous cellulose, fiberglass, or boron- nitride fiber. A contactor, comprising a structure and a CO ₂ -philic phase, wherein the structure contains mesopores and macropores, the CO ₂ -philic phase includes the reaction product of a linear aliphatic epoxide and an amine, the CO ₂ -philic phase is contained within the mesopores of the structure, optionally the structure is selected from a honeycomb, a laminate sheet, a foam, fibers, a minimal surface solid, powder trays, pellets, or a combination of these. The amine is an amine polymer. The amine polymer can be branched, hyperbranched, dendritic, or linear. The amine polymer is one of polyethylenimine, polypropylenimine, polyallylamine, polyvinylamine, polyglycidylamine, or polystyrene-divinylbenzene polymer functionalized with amine, or other amine polymers. The CO ₂ -philic phase is homogeneous. The CO ₂ -philic phase is heterogeneous. The fraction of amines modified by reaction with a linear aliphatic epoxide is about 0.001 to 1 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The fraction of amines modified by reaction with a linear aliphatic epoxide is about 0.01 to 0.5 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The CO ₂ -philic phase is physically impregnated into pores of the structure. The CO ₂ - philic phase is physically impregnated onto the surface of the structure. The CO ₂ -philic phase is covalently bonded to the surface of the structure. The linear aliphatic epoxide is 1,2- epoxyethane, 1,2-epoxypropane, 1,2-epoxybutane, 1,2-epoxybutane, 1,2-epoxypentane, 1,2,- epoxyhexane, 1,2,-epoxyheptane, 1,2,-epoxyoctane, 1,2-epoxynonane, 1,2-epoxydecane, 1,2,- epoxyundecane, 1,2-epoxydodecane, 1,2-epoxytridecane, 1,2-epoxytetradecane, 1,2- epoxypentadecane, 1,2-epoxyhexadecane, 1,2-epoxyheptadecane, 1,2-epoxyoctadecane, 1,2- epoxynonadecane, 1,2-epoxyeicosane. The CO ₂ -philic phase includes a 1-amino-2- alkylalcohol, wherein the alkyl is a linear alkyl from 1 to 20 carbons. The CO ₂ -philic phase includes a structure selected from one of the two structures: , where R is a linear alkyl from 1 to 20 carbons. The CO ₂ -philic phase includes 1-amino-2-ethanol, 1-amino-2-propanol, 1- amino-2-butanol, 1-amino-2-pentanol, 1-amino-2-hexanol, 1-amino-2-heptanol, 1-amino-2- octanol, 1-amino-2-nonanol, 1-amino-2-decanol, 1-amino-2-undecanol, 1-amino-2-dodecanol, 1- amino-2-tridecanol, 1-amino-2-tetradecanol, 1-amino-2-pentadecanol, 1-amino-2-hexadecanol, 1-amino-2-heptadecanol, 1-amino-2-octadecanol, 1-amino-2-nonadecanol, or 1-amino-2- eicosanol. The structure is comprised of ceramic, metal, metal oxide, plastic, cellulose, carbon, a zeolite, a metal organic framework (MOF), a porous organic framework (POF), a covenant organic framework (COF), a polymer of intrinsic microporosity (PIM), a polymer, a fibrous cellulose, fiberglass, or boron-nitride fiber. A contactor, comprising a structure and a CO ₂ -philic phase, wherein the structure contains mesopores and macropores, the CO ₂ -philic phase includes a structure selected from one of the two structures: , where R is a linear alkyl from 1 to 20 carbons., the CO ₂ -philic phase is contained within the mesopores of the structure, optionally the structure is selected from a honeycomb, a laminate sheet, a foam, fibers, a minimal surface solid, powder trays, pellets, or a combination of these. The amine is an amine polymer. The amine polymer can be branched, hyperbranched, dendritic, or linear. The amine polymer is one of polyethylenimine, polypropylenimine, polyallylamine, polyvinylamine, polyglycidylamine, or polystyrene-divinylbenzene polymer functionalized with amine, or other amine polymers. The CO ₂ -philic phase is homogeneous. The CO ₂ -philic phase is heterogeneous. The fraction of amines modified by reaction with a linear aliphatic epoxide is about 0.001 to 1 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The fraction of amines modified by reaction with a linear aliphatic epoxide is about 0.01 to 0.5 of total primary and secondary amines in the amine polymer, where a fraction of 1 means all of the primary and secondary amines. The CO ₂ -philic phase is physically impregnated into pores of the structure. The CO ₂ - philic phase is physically impregnated onto the surface of the structure. The CO ₂ -philic phase is covalently bonded to the surface of the structure. The linear aliphatic epoxide is 1,2- epoxyethane, 1,2-epoxypropane, 1,2-epoxybutane, 1,2-epoxybutane, 1,2-epoxypentane, 1,2,- epoxyhexane, 1,2,-epoxyheptane, 1,2,-epoxyoctane, 1,2-epoxynonane, 1,2-epoxydecane, 1,2,- epoxyundecane, 1,2-epoxydodecane, 1,2-epoxytridecane, 1,2-epoxytetradecane, 1,2- epoxypentadecane, 1,2-epoxyhexadecane, 1,2-epoxyheptadecane, 1,2-epoxyoctadecane, 1,2- epoxynonadecane, 1,2-epoxyeicosane. The CO ₂ -philic phase includes a 1-amino-2- alkylalcohol, wherein the alkyl is a linear alkyl from 1 to 20 carbons. The CO ₂ -philic phase includes 1-amino-2-ethanol, 1-amino-2-propanol, 1-amino-2-butanol, 1-amino-2-pentanol, 1- amino-2-hexanol, 1-amino-2-heptanol, 1-amino-2-octanol, 1-amino-2-nonanol, 1-amino-2- decanol, 1-amino-2-undecanol, 1-amino-2-dodecanol, 1-amino-2-tridecanol, 1-amino-2- tetradecanol, 1-amino-2-pentadecanol, 1-amino-2-hexadecanol, 1-amino-2-heptadecanol, 1- amino-2-octadecanol, 1-amino-2-nonadecanol, or 1-amino-2-eicosanol. The structure is comprised of ceramic, metal, metal oxide, plastic, cellulose, carbon, a zeolite, a metal organic framework (MOF), a porous organic framework (POF), a covenant organic framework (COF), a polymer of intrinsic microporosity (PIM), a polymer, a fibrous cellulose, fiberglass, or boron- nitride fiber. A system for capturing CO ₂ from a gas, optionally the gas is ambient air, comprising: a first device configured to introduce the gas to the sorbent or contactor described in the preceding paragraphs to bind CO ₂ to the CO ₂ -philic phase contained within the contactor; a second device configured to heat the CO ₂ -philic phase contained within the contactor containing bound CO ₂ to at least a first temperature to release the CO ₂ ; and a third device configured to collect the released CO ₂ . After being heated the CO ₂ -philic phase contained within the contactor is regenerated so it is able to absorb CO ₂ from the gas. The CO ₂ -philic phase contained within the contactor is in the form of a honeycomb, a laminate sheet, a foam, fibers, a minimal surface solid, powder trays, pellets, or a combination thereof. The honeycomb has an open face area of between 0.3-0.95. The gas approaches the honeycomb at a velocity of between 0.25-10 m/s. The system is configured to operate to remove CO ₂ from ambient air, where the ambient air has a concentration of CO ₂ of 300 ppm to 1000 ppm. A method for removing CO ₂ from a gas stream, the method comprising: contacting a gas stream with the contactor as described in the preceding paragraphs; removing CO ₂ from the gas stream by sorbing CO ₂ using the CO ₂ -philic phase as the gas stream flows through or across the structure; and removing the sorbed CO ₂ from the CO ₂ -philic phase by heating the contactor to about 60 °C to 130 °C. Heating the CO ₂ -philic phase contained within the contactor regenerates the CO ₂ -philic phase so it is able to absorb CO ₂ from ambient air. The contactor is heated by contacting the CO ₂ -philic phase with steam. The method is configured to operate to remove CO ₂ from ambient air, where the ambient air has a concentration of CO ₂ of 300 ppm to 1000 ppm. The CO ₂ -philic phase contained within the contactoris in the form of a honeycomb, a laminate sheet, a fiber, a foam, a pellet, a powder tray, a combination thereof. A system for implement the method as described in the preceding paragraphs. Examples Now having described the embodiments of the present disclosure, in general, example 1 describes some additional embodiments of the present disclosure. While embodiments of the present disclosure are described in connection with example 1 and the corresponding text and figures, there is no intent to limit embodiments of the present disclosure to these descriptions. On the contrary, the intent is to cover all alternatives, modifications, and equivalents included within the spirit and scope of embodiments of the present disclosure. Examples The removal of CO ₂ from ambient air through engineered chemical processes, otherwise known as Direct Air Capture (DAC), is emerging as an important environment technology for the mitigation of climate change. DAC is a technology that can provide negative emissions, removing CO ₂ from the atmosphere. However, the current DAC technology is expensive thereby limiting its deployment. Therefore, improvements to DAC technology are needed. Many DAC technologies rely on solid sorbent materials as a medium to perform the separation of CO ₂ from the air. These sorbents are generally applied in temperature swing processes, where at low temperature CO ₂ from the air binds to the sites within them, and then at high temperature the CO ₂ is released into a concentrated product that can be sequestered or sold as a product. Many DAC sorbents utilize amines to bind CO ₂ in this manner. Certain amine types can be effective at binding CO ₂ from low concentrations such as that found in the air (400 ppm). While some amine types are effective at binding CO ₂ from ambient air, they slowly oxidize in air from ambient oxygen. This effect is exacerbated in process cycles that raise the temperature of the sorbent to remove bound CO ₂ , thereby creating accelerated oxidative degradation that reduces the lifetime of the CO ₂ sorbents. Therefore, sorbents with improved oxidative stability that are effective at removing CO ₂ from ambient air are needed. Some sorbents used in DAC processes are composite materials, containing a CO ₂ -philic phase (e.g., CO ₂ binding molecules) that is distributed in or within a solid material that provides it with surface area. The CO ₂ -philic phase can be grafted to the solid surface, physically impregnated into the pores of the solid material, or physically supported on the surface of the solid material. The CO ₂ -philic phase of these sorbents can be amines or other molecules that can bind CO ₂ . In some cases, the amines can be polymeric amines such as polyethylenimine, polypropylenimine, polyallylamine, polyvinylamine, polybutylamine or others. These polymeric amines can be linear, branched, hyperbranched, dendritic, or take the form some other macromolecule. In other cases, the amines can be small molecules such as TEPA, TPTA or others. In other cases, the amines can be aminosilanes. The solid support material can be a metal oxide, carbon, metal, or other structure that can provide ample surface area for the CO ₂ - philic phase to be deposited to allow for useful CO ₂ adsorption and desorption capacities and kinetics. In this way, the solid support material is functionalized with the CO ₂ -philic phase to create a composite sorbent. The sorbents can be formed or incorporated into macrostructures, or contactors, to provide advantages in applications such as DAC. Such structures can be honeycomb monoliths, laminate sheets, pellets, or other structures that can provide a high geometric surface area for air or CO ₂ containing gasses to efficiently contact the sorbent such that the CO ₂ can bind to the sorbent. The sorbents can be utilized in processes to capture CO ₂ from air or a variety of other gas stream such as flue gas, natural gas and others. These processes are known as “CO ₂ Capture Processes”. CO ₂ capture processes can utilize temperature swing, concentration swing, pressure swing, steam stripping or other swing techniques to remove CO ₂ that has been bound the surface of the sorbent. There has been relatively little development of improved CO ₂ sorbents utilizing polyethylenimine, and especially for DAC applications. Now having described the embodiments of the present disclosure, in general, the following examples describes some additional embodiments of the present disclosure. While embodiments of the present disclosure are described in connection with these examples and the corresponding text and figures, there is no intent to limit embodiments of the present disclosure to these descriptions. On the contrary, the intent is to cover all alternatives, modifications, and equivalents included within the spirit and scope of embodiments of the present disclosure. Figure 1C illustrates a schematic of sorbent system comprised of support and CO ₂ -philic phase. Together, the support and CO ₂ -philic phase comprise a sorbent. Figure 1C shows the primary components of the sorbent system. The sorbent system is comprised of a support material and a CO ₂ -philic phase. In the schematic shown, a single CO ₂ -philic phase is shown incorporated into a single support. The CO ₂ -philic phase shown is polyethylenimine (PEI). One known adsorption product of CO ₂ and PEI is ammonium carbamate. Mesoporous alumina is shown as a support. Figure 2 is a schematic of honeycomb monolith contactor comprised of a substrate and a sorbent washcoat. The sorbent washcoat is comprised of a support and a CO ₂ -philic phase. This example shows a cordierite substrate, an alumina support, and a PEI CO ₂ -philic phase. Figure 2 shows one embodiment of a honeycomb monolith contactor. The figure shows the primary geometrical features of a honeycomb monolith, having straight, flowthrough channels surrounded on all sides by walls. The figure schematically shows a washcoat applied to the walls, where the washcoat is comprised of sorbent. The sorbent is comprised of a support material and a CO ₂ -philic phase, such as PEI. Example: Preparation of improved CO ₂ -philic phase containing polyethylenimine (PEI) reacted with epoxybutane, epoxyhexane, epoxyoctane, or epichlorohydrin Branched polyethylenimine (PEI) (Sigma Aldrich, MW 800), epichlorohydrin, 1,2- epoxyoctane, 1,2-epoxybutane, and 1,2-epoxyhexane were used. The PEI was dissolved in a solution of methanol, after which a single epoxide was added in a ratio corresponding to 0.1-0.8 mol epoxide per mol of N present in PEI. The mixture was allowed to stir at room temperature for a minimum of 6h to allow the epoxide to react with the PEI. Separately, a mesoporous alumina was dispersed in methanol and mixed until homogeneous. Then, the functionalized PEI solution was pipetted into the alumina/methanol dispersion. After stirring for 8h the solvent was removed by rotary evaporation and subsequent drying in a vacuum oven at 100° C. Mass ratios of the alumina and functionalized PEI were controlled such as to achieve 50-80% filling of the mesopores of the mesoporous alumina with functionalized PEI. The resultant composite sorbents were of a powdery consistency. Example: Chemical Characterization of improved CO ₂ -philic phases and CO ₂ sorbents Chemical characterization was carried out to confirm that improved CO ₂ -philic phases were created by the chemical functionalization of PEI with epoxides containing several varied alkyl groups. Further chemical characterization was carried out to confirm that these CO ₂ -philic phases were successfully incorporated into the pores of a mesoporous alumina to create a CO ₂ sorbent. 1H NMR experiments were carried out on PEI and the materials resulting after reaction of PEI with various epoxides to characterize the nature of the resultant material. FTIR experiments were carried out on sorbents comprised of the improved CO ₂ -philic phases and mesoporous alumina to characterize the nature of the sorbents. TGA burnoff experiments were carried out on sorbents comprised of the improved CO ₂ - philic phases to characterize the total quantity of organic present in the sorbent. Samples were heated under diluted air to 900° C and their mass loss tracked. Total organic content was taken as the mass loss over that temperature interval, after removing the contribution of CO ₂ and H ₂ O lost at lower temperatures. Elemental analysis was performed by an external lab using a combustion-based method to characterize the total weight fraction of C, H, and N on the samples. Example: Analysis methodology for sorbents created with improved CO ₂ -philic phase Figure 3 illustrates the analysis methodology for sorbents created with improved CO ₂ - philic phase. The process flow shows modification of the native PEI polymer, creation of a sorbent with the modified polymer, characterization of the material through TGA, N ₂ physisorption, Elemental Analysis, FTIR, NMR, CO ₂ Uptake, DSC based oxidation rate characterization and finally post mortem analysis following oxidation exposure via TGA, Elemental Analysis, FTIR, and CO ₂ adsorption. Example: 1H NMR spectra of PEI and improved CO ₂ -philic phases created by reaction of PEI with epoxyoctane Figure 4 illustrates ¹ H NMR spectra of PEI (top) and PEI reacted with epoxyoctane (bottom) at 0.5 mole epoxide/mol PEI. Small portions of the PEI and modified PEI prepared with CDCl ₃ and analyzed with ¹ H NMR at 700 MHz. The modified sample contained a small amount of residual methanol (about 3.45 ppm). The modification introduced an expected new peak at 3.68 ppm, which may reflect the formation of tertiary carbons substituted by two CH ₂ and one hydroxyl species from the epoxide ring-opening. The new triplet peak at 0.89 ppm is expected to be the signature from the methyl end of the alkyl chain. Example: FTIR spectra of sorbent created with mesoporous alumina as the support and epoxyhexane reacted with PEI as the improved CO ₂ -philic phase Figure 5 illustrates FTIR spectra of sorbents created with improved CO ₂ -philic phases comprised of PEI functionalized with epoxyhexane impregnated into a mesoporous alumina at a varied ratio of epoxyhexane to PEI ranging from 0.1 to 0.8 mol/mol. Molecular structure figures shows resultant structures for reaction of epoxyhexane and PEI to form secondary (left) and tertiary (right) amines with the pendant hexanol groups for reference. Example: FTIR spectra of sorbent created with mesoporous alumina as the support and epoxyoctane reacted with PEI as the improved CO ₂ -philic phase Figure 6 illustrate FTIR spectra of sorbents created with improved CO ₂ -philic phases comprised of PEI reacted with epoxyoctane impregnated into a mesoporous alumina at a varied ratio of epoxyoctane to PEI ranging from 0.1 to 0.8 mol/mol. Molecular structure figures show resultant structures for reaction of epoxyoctane and PEI to form secondary (left) and tertiary (right) amines with the pendant octanol groups for reference. Example: FTIR spectra of sorbent created with mesoporous alumina as the support and epoxybutane reacted with PEI as the improved CO ₂ -philic phase Figure 7 illustrate FTIR spectra of sorbents created with improved CO ₂ -philic phases comprised of PEI reacted with epoxybutane impregnated into a mesoporous alumina at a varied ratio of epoxyoctane to PEI ranging from 0.1 to 0.8 mol/mol. Molecular structure figures shows resultant structures for reaction of epoxybutane and PEI to form secondary (left) and tertiary (right) amines with the pendant butanol groups for reference. Example: N ₂ physisorption showing porosity of materials and sorbents Figures 8A and 8B show the pore size distributions and N ₂ physisorption isotherms for a sorbent created with an improved CO ₂ -philic phase compared to that of native PEI and the alumina support. The data show that the porosity of the alumina is filled in a similar manner with the modified PEI compared to native PEI. The data show how the mesopore volume of the alumina support is reduced when PEI is impregnated into it, and how it is further reduced when the modified PEI is impregnated into it due to the added quantity of organic from the modification. Example: TGA burnoff experiments Figures 9A and 9B show the mass loss and heat flow (DSC) curves during exposure of materials to diluted air while ramping the temperature from room temperature to 900° C. The figures show that the native PEI and modified PEI both lose substantial mass during the experiment, as the organic fractions of the materials burn off from the oxidative conditions. The sorbent created using modified PEI loses more mass than that utilizing the native PEI due to the increased quantity of organic in the sorbent material. The DSC traces reveal different oxidative profiles for the materials during the course of exposure. Example: Testing in CO ₂ Adsorption Processes Sorbents created with improved CO ₂ -phillic phases were tested for CO ₂ adsorption in a TGA under 400 ppm CO ₂ at 30° C to simulate the gas contacting step of a Direct Air Capture process. The sorbents were first treated in inert gas at 100° C to desorb any bound H ₂ O and CO ₂ before being equilibrated at 30° C under inert gas. The inert gas was either He or N ₂ . Then, the gas concentration was switched isothermally to contain 400 ppm CO ₂ balanced by the same inert gas and the mass change was recorded. Under these moisture free conditions, the mass gain of the material corresponds to the adsorption of CO ₂ and therefore can be used to measure the total quantity and rate of CO ₂ adsorption onto the materials. Various improved sorbents were characterized for CO ₂ adsorption using this method, and compared to the baseline PEI based sorbent. Sorbents created using PEI reacted with a variety of epoxides at systematically varied loadings ranging from 0.1 – 0.8 mol epoxide / mol N were tested. The sorbents were evaluated on two bases, i) CO ₂ capacity, mmol of CO ₂ adsorbed per mmol of sorbent present, and ii) amine efficiency, mmol of CO ₂ adsorbed per mmol of N present. The former unit of performance is useful to show bulk sorbent performance, and the second unit of performance is useful to evaluate the performance of the amine polymer itself and takes into account changes to the bulk composition of the sorbent. Example: CO ₂ adsorption uptake capacities at 400 ppm CO ₂ of PEI and improved CO ₂ -philic phases supported on mesoporous alumina. Figure 10 shows transient TGA uptake curves under DAC conditions for sorbents created with improved CO ₂ -philic phases utilizing PEI reacted with epoxybutane, epoxyhexane, and epoxyoctane each at 0.5 mol epoxide / mol PEI compared to that of unmodified PEI. Each of the sorbents reach an amine efficiency within ~10% of each other, indicating that the modification of the PEI did not affect its ability to adsorb CO ₂ at the ultra dilute conditions of 400 ppm. This is an unexpected result, as the epoxidation of amines converts primary amines to secondary amines and secondary amines to tertiary amines. Secondary amines are thought to have a less favorable interaction potential for CO ₂ compared to primary amines due to the steric hindrance of an additional group bonded to them. Tertiary amines are well known to not interact with CO ₂ under dry conditions such as those tested here. Therefore, this result shows that the epoxidation of PEI unexpectedly does not lead to substantial loss in performance of PEI as a CO ₂ -philic phase. Additionally, the initial rate of adsorption follows the trend of Epoxybutane / PEI > Epoxyhexane / PEI > Epoxyoctane / PEI ≈ PEI. This indicates that the epoxidation of PEI can improve the CO ₂ adsorption rate, thereby allowing sorbents to equilibrate more quickly when adsorbing CO ₂ from air or other dilute streams. This unexpected result may be explained by the epoxide side chains creating void spaces within the CO ₂ -philic phase that allow unbound CO ₂ to more readily diffuse into the CO ₂ -philic phase compared to the unmodified PEI. The trend of increased adsorption rate with decreased chain length suggests that this effect may become limited as the chain length becomes too large and may entangle the polymers in a different way. Example: CO ₂ adsorption uptake capacities at 400 ppm CO ₂ of PEI and improved CO ₂ - philic phases with varied epoxide loading supported on mesoporous alumina. Figure 11 shows transient TGA uptake curves under DAC conditions for sorbents created with improved CO ₂ -philic phases utilizing PEI reacted with epoxyoctane at two epoxide loadings compared to that of unmodified PEI. Figure 11 shows while sorbents created using PEI and PEI reacted with epoxyoctane at 0.5 mol/mol PEI have similar amine efficiencies, there is a relatively large drop in final amine efficiency for a sorbent created using PEI reacted with epoxyoctane at a higher ratio of 0.8 mol / mol PEI. This loss in amine efficiency for the higher epoxide content may be due to excess occlusion of adsorption sites in the modified PEI from such a high content of non-amine organic material. Additionally, it shows that care must be taken to create improved CO ₂ -philic phases at appropriate chemical compositions according to the epoxide chemistry utilized. Example: Testing of Oxidative Stability The oxidative stability of the materials was probed in two ways. The first was by measuring the CO ₂ capacity following exposure of sorbents to isothermal oxidative conditions for a fixed period of time. The sorbents were first treated in inert gas at 100° C to desorb any bound H ₂ O and CO ₂ before being equilibrated at a target temperature under inert gas for 60 minutes. The gas was then isothermally switched to a 17% O ₂ mixture and held for a target time such as to partially oxidize the sample. A separate method used to evaluate the oxidative stability of the sorbents was tracking the heat flow evolved from the materials using a DSC during exposure to isothermal oxidative conditions. Here, the sorbents were first treated in inert gas at 100° C to desorb any bound H ₂ O and CO ₂ before being equilibrated at either 125, 137.5 or 150° C under inert gas for 60 minutes. The gas was then isothermally switched to a 17% O ₂ mixture, or a mixture of 17% O ₂ and 20% CO ₂ , and held until the reaction finished. This isothermal, oxidative environment was maintained for a specific amount of time to measure the heat flow and mass loss. To prevent any further oxidation, the sample was then cooled under N ₂ to room temperature. During these experiments, for each oxidative condition, the DSC measures the incremental heat flux, which increases, levels out, and then decreases to zero. The oxidation was considered complete when the integrated heat flow over 10 min changed less than ±0.01% of the total integrated heat. To determine the extent of oxidation as a function of time, DSC data were converted from the base unit of mW/mg sorbent to W/gPEI using the PEI loading measured by TGA burnoff. DSC data were corrected for drift by applying an offset, determined by the heat flow value when the DSC curve approached a horizontal line. The total heat evolved was calculated by integrating heat flow over time. The extent of oxidation from DSC was calculated by dividing the integral heat flow curve by the total heat evolved. This method has been previously calibrated with the loss in amine efficiency as being a method of tracking the chemical reaction rate of oxidative degradation in-situ and is shown in Figure 12 (these are from the paper referred to below). Further details on this method and its validation are discussed in the following papers: Nezam et al, ACS Sustainable Chem. Eng., 2021, 9, 8477-8486, and Racicot et al, J. Phys. Chem. C, 2022, 126, 8807-8816, which is included herein by reference. Evaluating the oxidative stability of materials in environments that contain oxygen and CO ₂ is useful due to the fact that during regeneration processes, desorbed CO ₂ is present at different concentrations in addition to oxygen at elevated temperatures, and can impact the stability of the material. Separately, evaluating the oxidative stability of materials with oxygen only (air) is a useful way to evaluate the shelf life of a material when it is stored at ambient conditions. Example: CO ₂ adsorption uptake capacities at 400 ppm CO ₂ following treatment in oxidative conditions of PEI and improved CO ₂ -philic phases supported on mesoporous alumina. Figure 13 shows CO ₂ uptake curves expressed as amine efficiency (mol CO ₂ / mol N) following an oxidative treatment to probe the relative oxidative stability of the sorbents. Figure 13 shows that each of the sorbents containing modified PEI retain a higher amine efficiency compared to the unmodified PEI. This indicates that the modification of PEI creates an improved CO ₂ -philic phase that is more resistant to oxidative degradation that results in a more robust sorbent for DAC processes. Given that the amine efficiencies of each sorbent prior to the oxidative degradation was very similar, the trend in amine efficiency in this figure is indicative of the relative stability of the materials to oxidative degradation. The trend observed is nonlinear, and suggests that PEI modified with epoxyoctane retains more CO ₂ capacity than PEI modified with epoxybutane, which in turn retains more CO ₂ capacity than PEI modified with epoxyhexane, albeit to a lesser extent. Given that these materials all contain a similar molar ratio of epoxide to PEI, this trend demonstrates that the choice of epoxide molecule matters in determining the improvement in resistance to oxidative degradation, and suggests that there is not an intuitive trend as to which epoxide will be best. Example: CO ₂ adsorption uptake capacities at 400 ppm CO ₂ following treatment in oxidative conditions of PEI and improved CO ₂ -philic phases supported on mesoporous alumina. Figure 14 shows CO ₂ uptake curves expressed as amine efficiency (mol CO ₂ /mol N) following an oxidative treatment to probe the relative oxidative stability of the sorbents. Both sorbents created using PEI modified with epoxyoctane retained a higher amine efficiency than the unmodified PEI sorbent following the oxidative treatment. The sorbent created with 0.8 mol epoxyoctane per mole of PEI retained the highest relative fraction of its amine efficiency after the oxidative treatment, though it started with a lower amine efficiency than the other two samples shown. Example: Heat flow curves of PEI and improved CO ₂ -philic phase supported in mesoporous alumina under isothermal oxidative conditions at 137.5° C and 17% O ₂ . Figure 15 shows transient heat flow curves of sorbents created with PEI and PEI reacted with epoxyoctane at 0.5 and 0.8 mol epoxide/mol PEI, and all supported in a mesoporous alumina exposed isothermally to 17% oxygen at 137.5° C. The heat flow resulting from each material rises to a maximum and then decays. These curves are proportional to the instantaneous chemical reaction rate of the reactions that cause oxidative degradation. The figures show that the sorbents created with PEI modified with epoxyoctane rise to lower maxima and have lower slopes approaching their maxima compared to the sorbent utilizing unmodified PEI. This shows a systematic decrease in the rate of oxidative degradation with the functionalization of PEI with epoxyoctane across the entire reaction coordinate. These data are further consistent with the data showing retained amine efficiency of the sorbents after oxidative treatment at a single point in time along these curves, where the sorbents created with PEI modified with epoxyoctane retained a higher fraction of their amine efficiency than the sorbent created with unmodified PEI. Example: Integral heat flow curves, representing oxidation curves of PEI and improved CO ₂ phliic phases supported in mesoporous alumina under isothermal oxidative conditions at 137.5° C and 17% O ₂ . Figure 16 shows extent of oxidation curves for sorbents created with PEI and PEI reacted with epoxyoctane at 0.5 and 0.8 mol epoxide/mol PEI, and all supported in a mesoporous alumina exposed isothermally to 17% oxygen at 137.5° C. These extent of oxidation curves are derived from the integration and normalization of the heat flow curves shown above. These curves show transient total oxidation of the sorbents over time for a given condition. These curves further demonstrate the improved stability imparted on the PEI by modification with epoxyoctane. Figure 17 shows extent of oxidation curves for sorbents created with PEI and PEI reacted with epichlorohydrin, epoxybutane, epoxyhexane, and epoxyoctane at 0.5 mol epoxide/mol PEI, and all supported in a mesoporous alumina in the presence of air only at 137.5° C. The trend for the rate of oxidation for the sorbents is ranked as Epichlorohydrin / PEI > PEI > Epoxybutane / PEI > Epoxyhexane / PEI > Epoxyoctane. These curves demonstrate that different epoxides impart varying levels of improvement to the rate of oxidation of PEI when reacted with said epoxide. It also shows that not all epoxides will improve, or reduce, the rate of oxidation, and some can in fact accelerate the rate of oxidation as compared to PEI, as is the case for epichlorohydrin. Example: Integral heat flow curves, representing oxidation curves of PEI and improved CO ₂ phliic phases supported in mesoporous alumina under isothermal oxidative conditions at 125° C with 20% CO ₂ , 17% O ₂ , balance N ₂ . Figure 18 shows extent of oxidation curves for sorbents created with PEI and PEI reacted with epoxybutane and epoxyoctane at 0.5 mol epoxide/mol PEI, and all supported in a mesoporous alumina in the presence of CO ₂ and O ₂ at 125° C. The trend for the rate of oxidation for the sorbents is ranked as PEI > Epoxyhexane / PEI > Epoxybutane / PEI. These curves suggest that epoxides that impart improved oxidative stability in air only conditions will also improve the oxidative stability in the presence of CO ₂ and air. Table: Properties and performance of sorbents created with PEI and PEI modified with epoxide molecules.

The table above shows the physical properties, CO ₂ adsorption properties of fresh samples, and CO ₂ adsorption properties of samples after an oxidative treatment. The table shows these properties for sorbents created with PEI and created with modified PEI. The modified PEI based sorbents shown here were created using a varied molar quantity of epoxyoctane reacted with PEI, and varied types of epoxides reacted with PEI at a common molar ratio. The loss from oxidation of the sorbent created with native PEI was 81 percent, while the loss in CO ₂ capacity for each of the sorbents created with an improved CO ₂ -philic phase was less than this, with PEI-0.5EO having the highest CO ₂ capacity. The data show that PEI reacted with epoxyoctane is the most advantaged sorbent for use in CO ₂ capture processes with process conditions that may lead to oxidation. This goes against intuition, as to have a high CO ₂ capacity, one would want to use an epoxide reactant with a small alkyl chain to increase the overall ability to incorporate amines into the pores of the sorbent for capturing CO ₂ . Whereas what is observed here suggests that this longer alkyl chain will ultimately yield a sorbent with a higher operating CO ₂ capacity and less degradation from oxidation. Example: Preparation of honeycomb monolith with improved CO ₂ -philic phase For the preparation of oxidation-resistant sorbent honeycomb monoliths, epoxide- modified PEI solution was prepared: Methanol was used to dissolve the PEI, and 1,2- epoxyoctane was added to the homogeneous solution. The PEI/epoxide mixture was allowed to stir at room temperature for a minimum of 12 hours prior to impregnation in the monolith. Honeycomb monoliths having a corrugated channel structure, comprised of porous alumina coated within and on a fiberglass structure were utilized. The solution is then poured over the honeycomb monolith in a controlled manner. The honeycomb monolith was immersed in the solution for 1.5 hour to allow the filling of the pore network of the porous media. When the pores are completely occupied with the PEI + solvent solution, the solvent is removed. To remove the excess of solvent, the honeycomb monolith channels are cleared out using an air knife and the honeycomb monolith is then dried. The drying step is performed at 100 °C under vacuum for several hours. These drying conditions remove the solvent and eliminate oxygen from the environment to prevent oxidation at elevated temperatures. Example: Evaluation of Honeycomb Monolith with improved CO ₂ -philic phase A honeycomb monolith containing epoxide-modified PEI and its counterpart, a honeycomb monolith containing unmodified PEI, were evaluated in an accelerated oxidation process under dry and humid condition. The sorbent sample was degassed for 1 h to remove the previously captured CO ₂ and moisture from storage under ambient conditions. Then, the sample was held for multiple time-points under reaction conditions at 125° C under a constant flow of gas containing air with balancing nitrogen leading to an O ₂ content of 5 %. The effect of humidity on the oxidation process was probed using a fixed bed. The setup allows the introduction of either dry or humid gases (i.e., N ₂ and air) to a fixed bed reactor containing ~20 mg of fresh crushed and sieved honeycomb monolith sorbent. All the experiments were performed at 1 atm, and the flow rates of all gases were held constant at 55 mL/min. The samples were pretreated by flowing N ₂ at 100 °C for 1 h. Afterward, the temperature of the bed was ramped to 120 °C for oxidation experiments. The humid air stream with absolute humidity of ~ 12 g/m ³ (corresponding to 50 % relative humidity (R.H.) at 25° C) was introduced into the heated bed. Humidity was generated by flowing gases through a sparger containing DI _H2O at a controlled temperature. The oxidation experiments were performed for multiple time-points. The change in sorbent uptake capacity was determined via dry CO ₂ uptake measurements, using a TA Instruments Q500 analyzer. Prior to measurements, each sample was pretreated at 100° C for 1 h under N ₂ flow and then cooled to 30° C. The gas flow was then switched to 400 ppm CO ₂ for 3 h. Example: Oxidation rates of honeycomb monolith sorbents created with improved CO ₂ -philic phase under dry and humid oxidation conditions Figures 19A and 19B illustrate honeycomb monolith sorbent deactivation over time measured for PEI/Al ₂ O ₃ and functionalized PEI-based (0.5-PEI/Al ₂ O ₃ ) based sorbent at: (a)) 125° C, under 5% O ₂ dry oxidation and (b) humid condition at 120° C. Confirming previous trends on powder sorbents using modified PEI to form an improved CO ₂ philic phase, one can observe from Figure 18 (a) and (b) that the functionalization of the PEI honeycomb monolith with 1,2-epoxyoctane (EO), significantly reduced the rate of oxidation of the sorbent as compared to the baseline PEI honeycomb monolith. In these experiments, 34- 52 % reduction was obtained for functionalized honeycomb monoliths. Example: Description of DAC Experiments using Honeycomb Monolith Sorbent with improved CO ₂ -philic phase DAC experiments were performed by a five step temperature vacuum swing adsorption cycle using steam stripping to deliver heat. A honeycomb monolith weighing 300 grams, comprised of porous alumina and a CO ₂ -phillic phase of 29 grams of epoxide-modifier and 60 grams of polyethylenimine (PEI) was used. The honeycomb monolith was a cylindrical test core that was 4 inches in diameter and 6 inches long. The epoxide modifier precursor was 1,2- epoxyoctane. The DAC experiment was performed in a custom apparatus meant to deliver process conditions simulating practical, commercial DAC operations. This includes the use of a temperature jacket on the exterior of the honeycomb monolith to prevent excess steam condensation during the process cycles. In the first step, hot heat exchange fluid is flowed through the reactor’s jacket. Temperature and pressure in the reactor are measured until the reactor reaches the regeneration temperature (60° C). At the same time, the vacuum ballast tank is pre-vacuumed to about 0.1 bar by the vacuum pump for the next pump down step. In the next step, the pressure in the reactor is reached to 0.3 by pumping down for 10 s. During the regeneration step, the 150° C steam from the steam ballast tank enters into the honeycomb monolith for 90 s, which is accompanied by desorbed CO ₂ . CO ₂ and H ₂ O are separated through the separator and then CO ₂ was pumped to the CO ₂ storage unit for further usage. Then, cold heat exchange fluid is flowed through the reactor jacket and pressure is measured until the reactor reaches to 0.4 bar. Now the honeycomb monolith bed is ready for the adsorption. In this step, air was drawn through the honeycomb monolith bed by three air fan (air velocity is 3.2 m/s) at the ambient condition for 950 s. The adsorbent starts adsorbing ambient CO ₂ during this step and mass flows will be monitored with an IR- analyzer to measure the CO ₂ concentrations. Example: Cyclic Temperature Profiles DAC Experiments using Honeycomb Monolith Sorbent with improved CO ₂ -philic phase (the figures will be in black and white, so please amend this figure to have some other indication regarding what is happening, perhaps arrows to the curves and also add some additional description of what is shown here and its meaning and relevance) Figure 20 shows the temperature profiles for 13 operating cycles. The temperature of the steam (the topmost in the figure) is the highest, as it is saturated steam stored at between 3.5-5 bara. The honeycomb monolith temperatures swing between the temperature of the air (~25° C) and a regeneration temperature of ~110-120 ^o C. The other profiles show the temperature of the heating and cooling jacket. Example: Cyclic Pressure Profiles DAC Experiments using Honeycomb Monolith Sorbent with improved CO ₂ -philic phase (same here regarding colors) Figure 21 shows pressure profiles for 13 DAC cycles. The topmost pressure is the pressure of steam stored in a vessel and periodically used for regeneration. It swings between its setpoint pressure from the boiler (5 bara) and ~3.5 bara after it is injected into the process to heat the honeycomb monolith. The honeycomb monolith pressure swings between ~0.4 and 1.75 bara during its process cycle as vacuum is pulled and steam is injected to desorb bound CO ₂ . Example: CO ₂ breakthrough curves during adsorption step of DAC Experiments using Honeycomb Monolith Sorbent with improved CO ₂ -philic phase (same here for colors) Figure 22 illustrate CO ₂ breakthrough curves during adsorption step of DAC Experiments using Honeycomb Monolith Sorbent with improved CO ₂ -philic phase. Breakthrough curves show the concentration of CO ₂ existing the honeycomb monolith as a function of time during the adsorption step of the process cycle. Breakthrough curves for 13 cycles are shown.   It should be noted that ratios, concentrations, amounts, and other numerical data may be expressed herein in a range format. It is to be understood that such a range format is used for convenience and brevity, and thus, should be interpreted in a flexible manner to include not only the numerical values explicitly recited as the limits of the range, but also to include all the individual numerical values or sub-ranges encompassed within that range as if each numerical value and sub-range is explicitly recited. To illustrate, a concentration range of “about 0.1% to about 5%” should be interpreted to include not only the explicitly recited concentration of about 0.1 wt% to about 5 wt%, but also include individual concentrations (e.g., 1%, 2%, 3%, and 4%) and the sub-ranges (e.g., 0.5%, 1.1%, 2.2%, 3.3%, and 4.4%) within the indicated range. In an aspect, the term “about” can include traditional rounding according to significant figures of the numerical value. In addition, the phrase “about ‘x’ to ‘y’” includes “about ‘x’ to about ‘y’”. Many variations and modifications may be made to the above-described aspects. All such modifications and variations are intended to be included herein within the scope of this disclosure and protected by the following claims.