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Title:
POLYETHYLENE PREPARED WITH SUPPORTED LATE TRANSITION METAL CATALYST SYSTEMS
Document Type and Number:
WIPO Patent Application WO/2011/051371
Kind Code:
A1
Abstract:
The present invention relates to the field of ethylene polymerisation with a supported late transition metal catalyst system.

Inventors:
SIROL SABINE (BE)
LHOST OLIVIER (BE)
Application Number:
PCT/EP2010/066320
Publication Date:
May 05, 2011
Filing Date:
October 28, 2010
Export Citation:
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Assignee:
TOTAL PETROCHEMICALS RES FELUY (BE)
SIROL SABINE (BE)
LHOST OLIVIER (BE)
International Classes:
C08F10/02; C08F4/02; C08F4/70
Domestic Patent References:
WO1996023010A21996-08-01
WO1998027124A11998-06-25
WO1998037110A11998-08-27
WO2008113680A12008-09-25
Foreign References:
US20020058768A12002-05-16
EP0890581A11999-01-13
US5880241A1999-03-09
US20060199727A12006-09-07
Other References:
VRIES DE T J ET AL: "CHARACTERIZATION OF POLYETHYLENES PRODUCED IN SUPERCRITICAL CARBON DIOXIDE BY A LATE-TRANSITION-METAL CATALYST", MACROMOLECULES, ACS, WASHINGTON, DC, US, vol. 37, no. 11, 1 June 2004 (2004-06-01), pages 4241 - 4246, XP001196343, ISSN: 0024-9297
L.K. JOHNSON; C.M. KILLIAN; M. BROOKHART, JOURNAL OF AMERICAN CHEMICAL SOCIETY, vol. 117, 1995, pages 6414
H. MAVRIDIS; R.N. SHROFT, POLYMER ENGINEERING AND SCIENCE, vol. 32, 1992, pages 1778
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Claims:
CLAIMS

1 . Polyethylene characterised by simultaneously having:

a) a very high content of short chain branching of at least 20 short chain branches per 1000 methylene groups; and

b) an activation energy of less than 50 kJ/mole.

The polyethylene of claim 1 , wherein the polyethylene has a content of short chain branching of at most 80 short chain branches per 1 000 methylene groups.

Th e polyethyl en e of a ny of the preced i ng cla i ms , wh erei n th e polyethylene has a molecular weight distribution, defined as Mw/Mn, of at least 2.5, determined by size exclusion chromatography.

The polyethylene of any of the preceding claims wherein the short chain branches consist of methyl groups in an amount of at least 70% of the total short branches.

The polyethylene of any of the preceding claims wherein the activating energy is of at most 40 kJ/mole.

A process for preparing the polyethylene of any one of claims 1 to 5 that comprises the steps of:

a) supporting a late transition metal catalyst component onto an activating support that comprises at least 10 wt% of aluminium, based on the total weight of the activating support;

b) injecting said activated catalyst system in the polymerisation reactor with ethylene monomer, in the absence of added comonomer;

c) injecting a scavenger selected from trial kylal um in iu m in the polymerisation reactor simultaneously with or before or after step b); d) maintaining at a polymerisation temperature of at least 70 °C;

e) retrieving a polyethylene product.

7. The process of claim 6 wherein the support is silica.

8. The process of claim 7, wherein the silica is characterized by a surface area of at least 150 m2/g and of at most 700 m2/g.

9. The process of claim 7 or claim 8, wherein the silica is characterized by an average pore diameter of at least 100 A and of at most 500 A.

10. The process of any of claims 6 to 9, wherein the activating support has an aluminium content ranging between 10 and 20 wt%.

1 1 . The process of any of claims 6 to 10, wherein the late transition catalyst component is represented by formula LMXn wherein L is a neutral bidentate ligand, M is a metal of group 8 to 10 of the periodic table, X is the same or different and can be a halogen, alcoholate or hydrocarbyl, and n is the valence of M.

12. The process of claim 1 1 wherein M is Ni, Pd, Fe or Co. 13. The process of claim 12, wherein M is Ni.

14. The process of any one of claims 6 to 13 wherein the activating agent on the support is an aluminoxane. 15. The process of any one of claims 6 to 14 wherein the trialkyl aluminium is triisobutyl aluminium.

Description:
POLYETHYLENE PREPARED WITH SUPPORTED LATE TRANSITION

METAL CATALYST SYSTEMS.

BACKGROUND OF THE INVENTION

The present invention relates to the preparation and characterisation of polyethylene prepared with supported late transition metal catalyst systems.

BRIEF DESCRIPTION OF THE RELATED ART

Du Pont has developed , u nder the name "Vers ipol" , a new fam i ly of polyethylene catalysts, based on late transition metals. The catalyst com ponents a re d isclosed in deta i l i n WO96/2301 0 , WO98/271 24 , WO98/371 10 or in Johnson et al. (L.K. Johnson, CM. Killian and M. Brookhart in Journal of American Chemical Society, 1 17, 6414, 1995). These catalyst components consist mainly of nickel-, palladium- or iron-based complexes containing diimine ligands. Polymerisation of ethylene carried out with bidentate a-diimine ligands are described in literature. The polymers display some interesting features such as:

- They have a very large content of short chain branching, even in the absence of comonomer in the polymerisation reactor. This is explained in terms of 'chain walking mechanism', due to continuous internal rearrangements of the polymer-catalyst complex during polymerisation. Such specificity presents a significant advantage as it suppresses the need to introduce costly comonomers during polymerisation.

- They can incorporate polar comonomers such as acrylate, inside the polyethylene growing chain. It is hoped that this property could lead to the preparation of "barrier polyethylene grades". US-A-5880241 discloses a process for polymerising ethylene, acyclic olefins, cyclic olefins, olefinic esters or carboxylic acids with late transition metal compounds and optional co-catalysts. The polymers produced have novel microstructure, have a large number of small branches, such as methyl, ethyl and propyl and h igher branches. They can advantageously be used as elastomers, moulding resins or in adhesives.

The activity of these polymerisation catalyst systems remains however someti m es fa r from opt i m a l . Th ere is th u s a n eed to d evelop other polymerisation conditions and to study their influence on the properties of the polymers.

SUMMARY OF THE INVENTION

It is an objective of the present invention to use a supported late transition catalyst component in the polymerisation of ethylene and alpha-olefins.

It is also an objective of the present invention to use various activators in combination with the supported late transition compounds in order to improve their activity.

It is another objective of the present invention to relate the properties of the resulting polymers to the nature of the catalyst component and activator.

In accordance with the present invention, the foregoing objectives are realised as described in the independent claims. The preferred embodiments are defined in the dependent claims.

BRIEF DESCRIPTION OF THE DRAWINGS

Figure 1 represents for example 1 , tan(5) as a function of frequency, expressed in rad/s at temperatures of 170, 190 and 210 °C, after applying an horizontal shift to the 170 and 210 °C values in order to optimise on the 190°C measurements.

Figure 2 represents for example 2, tan(5) as a function of frequency, expressed in rad/s at temperatures of 170, 190 and 210 °C, after applying an horizontal shift to the 170 and 210 °C values in order to optimise on the 190°C measurements.

Figure 3 represents for example 3, tan(5) as a function of frequency, expressed in rad/s at temperatures of 170, 190 and 210 °C, after applying an horizontal shift to the 170 and 210 °C values in order to optimise on the 190°C measurements.

DETAILED DESCRIPTION OF THE INVENTION

The present invention d iscloses a polyethylene that is characterised by simultaneously having:

a) a well-defined content of short chain branching consisting primarily of methyl g rou ps, in th e a bsence of added comonom er i n the polymerisation reactor; and

b) an activation energy of less than 50 kJ/mole.

The polyethylene of the present invention is characterised by a well-defined number of short chain branching, of at least 20 short chain branches per 1000 methylene groups. Preferably, the number of short chain branches is at most 80, more preferably of at most 70 or 60, even more preferably of at most 50, still even more preferably of at most 40, and most preferably of at most 30 short chain branches per 1 000 methylene groups. These short branches comprise at least 70% of methyl groups, 10% of ethyl groups, the remaining 20% being split between propyl, butyl and amyl groups. They are substantially linear with a negligible amount of long chain branching. For the purposes of the present application a short chain branch is considered to comprise from 1 to 5 carbon atoms. Representative examples of short chain branches are methyl, ethyl, propyl, butyl, pentyl and amyl groups.

Interestingly, the polyethylene of the present invention seems not have the very narrow molecular weight distribution typically observed for polyethylenes produced with single-site polymerization catalysts. Preferably, the polyethylene of the present invention is characterized by a molecular weight distribution, as defined by the ratio M w /M n of the weight average molecular weight M w and the number average molecular weight M n , of at least 2.5, more preferably of at least 3.0 and most preferably of at least 3.5. Preferably, the molecular weight distribution is at most 6.0, more preferably at most 5.5, and most preferably at most 5.0. Molecular weights, and hence the molecular weight distribution, may be determined by size exclusion chromatography (SEC), such as for example by gel permeation chromatography (GPC), as indicated in the examples. It is noted that in the present application the terms size exclusion chromatography (SEC) and gel permeation chromatography (GPC) are used synonymously.

The polyethylene of the present invention is further characterised by low activation energy of less than 50 kJ/mole, preferably of less than 40 kJ/mole and more preferably of less than 30 kJ/mole. This type of activation energy is of the order of, but slightly higher than that of purely l inear polyethylene typically of the order of 25 kJ/mole, as it has SCB. These activation energies are calculated on the basis of the best horizontal shift of tan(5) for RDA measurements between 0.1 rad/s and 100 rad/s at various temperatures.

The polyethylene according to the present invention is further characterised by rheological dynam ical analysis (RDA) measurem e nts ca rried ou t at frequencies ranging between 0.1 and 320 rad/s and at temperatures of 170, 190 and 210 °C respectively. Such measurements provide an independent determination of the horizontal activation energy. The horizontal activation energy is determined by the superposition of the tan(5) = ί(ω) functions, measured at different temperatures using the method described in Mavridis and Shroft for the determination of the "horizontal activation energy" (H. Mavridis and R.N . Shroft, in Polymer Engineering and Science, 32, 1 778, 1992).

Certain features of the new polymers need however explaining.

- The superposition of the tan(5) = ί(ω) functions, measured at different temperatures is displayed in Figures 1 and 2. The superposition is perfect at frequencies of more than 1 rad/s, but between 0.1 and 1 rad/s, the curves diverge.

- The values of the long chain branching index g r heo are of less than 1 indicating that the polymer is not linear, and therefore in disagreement with the observations derived from the horizontal activation energy. Indeed, linear polymers have a value of g r heo close to 1 .

These seemingly conflicting observations can be reconciled by a specific molecular structure wherein the few long chain branches are located only on the high molecular weight chains.

The relaxation spectrum associated with polymers having such long chain branching distribution can be split into 2 different zones:

1 . A slow relaxation times zone wherein the dominant phenomena are those associated with linear chains reptation.

2. A high relaxation times zone wherein the dominant phenomena are those associated with long chain branches. That separation can explain the time-temperature superposition procedure performed with RDA measurements above 1 rad/s. It can also explain that the activation energy calculated in the frequency range above 1 rad/s is close to that of linear polyethylene samples. Such a structure is particularly beneficial in terms of mechanical properties.

From a topological point of view, it is known that a molecule with long chain branch ing contains at least one connection point that is a ternary or a quaternary carbon and lateral branches of variable lengths above the minimum entanglement molecular mass. Without wishing to be bound by a theory, it is believed that during crystallisation of the polymer, the connection points have a very restricted mobility and may be at the origin of induced local constraints in the solid state. This is detrimental to mechanical properties as such local constraints are believed to create initial crazes, badly affecting properties such as stress-crack resistance. Lateral long branches are however very advantageous for other mechanical properties as they are at the origin of tie- molecules. In addition, the longer the branches, the highest the number of tie- molecules they can induce per branch , and the h ighest the number of connected lamellae. This is favourable to long term creep properties, or impact properties. The polyethylene of the present invention offers therefore a very appealing long chain branch structure as it has only a few long branches located on high molecular weight chains. In this description, the long chain branching index g r heo is determined from measurements of gel permeation chromatography (GPC) and RDA. It is fully described in WO2008/1 13680 and is summarised here.

LCB concentration is determined through its effect on enhancement of zero- shear viscosity when LCB concentration is too low to be detected by conventional techniques. Enhancement of zero shear viscosity by LCB is quantified as follows: g ( PE) = M ^ SEC)

M w (n 0 ,MWD, SCB) wherein SEC stands for size exclusion chromatography. M W (SEC) consequentially denotes the weight average molecular weight determined by SEC. GPC separates particles based on their size or hydrodynamic volume. Separation occurs via the use of porous beads packed in a column, wherein small particles enter the pores easily and therefore spend a long time time in these pores and wherein conversly, large particles spend little if any time in the pores and are eluted quickly. All columns have a range of molecular weights that can be separated. GPC is often used to determine the relative molecular weight of polymer samples as well as the distribution of molecular weights. Polystyrene standards with polydispersion index of less than 1 .2 are typically used to calibrate the GPC. M w (r|o,MWD,SCB) denotes the weight average molecular weight determined from the zero shear viscosity η 0 , which is estimated by fitting with Carreau-Yasuda flow curve (η-W) at a temperature of 1 90 °C, obtained by oscil latory shear rheology on ARES equ ipment (manufactured by TA Instruments) in the l inear viscoelasticity domain, includ ing effects of short chain branching (SCB) and molecular weight distribution (MWD).

In the present method, g r heo is equal to 1 for linear PE and decreases with increasing amount of LCB.

Significant improvement in zero shear viscosity prediction as function of molecular weight can be obtained by including effects of short chain branching (SCB) and molecular weight distribution (MWD), defined as the ratio M w /M n of the weight average molecular weight M w over the number average molecular weight M n .

The presence of LCB can be detected at very low LCB concentration. In practice, g r heo of 0.95 and below can be associated with the presence of LCB.

The present invention also discloses a process for homo- or co-polymerising ethylene that comprises the steps of:

a) supporting a late transition metal catalyst component onto an activating support that comprises at least 1 0 wt% of aluminium, based on the weight of said activating support;

b) injecting said activated catalyst system in the polymerisation reactor with ethylene monomer, in the absence of added comonomer; c) injecting a scavenger selected from trial kylal um in iu m in the polymerisation reactor simultaneously with or before or after step b) d) maintaining at a polymerisation temperature of at least 70 °C; and e) retrieving a polyethylene product. The late transition metal complex is a compound of formula LMX n wherein L is a neutral bidentate ligand, M a metal of group 8 to 10 of the Periodic Table, X is the same or different and can be a halogen, alcoholate or hydrocarbyl, and n is the valence of M.

The preferred metal is selected from Ni, Pd, Fe and Co, more preferably, it is Ni.

The preferred catalyst component according to the present invention is a nickel based compound prepared from a bidentate alpha-diimine ligand. Most preferably it is BIAcNp(Mes)NiBr 2 , the chemical formula of which is given in the examples.

The support is preferably silica treated by an activating agent.

Preferably, said silica is characterized by a surface area of at least 150 m 2 /g, more preferably of at least 200 m 2 /g, and most preferably of at least 250 m 2 /g. Preferably the surface area of the silica is at most 700 m 2 /g, more preferably at most 600 m 2 /g, even more preferably at most 500 m 2 /g or 400 m 2 /g, still even more preferably at most 350 m 2 /g, and most preferably at most 300 m 2 /g.

Preferably, said silica is characterized by an average pore diameter of at least 100 A, more preferably of at least 150 A, even more preferably of at least 200 A, and most preferably of at least 220 A. Preferably, the average pore d iameter is at most 500 A, more preferably at most 400 A, even more preferably at most 350 A, still even more preferably at most 300 A and most preferably at most 280 A.

Surface area and average pore diameter are determined using nitrogen as adsorbate for the measurement of adsorption and desorption isotherms. The data is then used for the calculation, following the BET model, of surface area and pore diameter. The respective test methods are given in the examples. The preferred activating agent is an aluminium or boron-containing compound. Preferably it is an aluminoxane of formula

R-(AI-0) n -AIR * 2

I

R * or R *

More preferably, it is methylaluminoxane (MAO).

Preferably, the activating support has an aluminium content ranging between 10 and 20 wt%.

The solvent for supporting the transition metal complex depends upon the choice of activating agent. If the activating agent is MAO, the preferred solvent is toluene and if it is a borate, the solvent can be selected from toluene or CH2CI2-

The trialkylaluminiums used as scavengers in the present application preferably have alkyl groups with 1 to 10 carbon atoms. Examples of suited trialkylaluminiums are trimethyl alum in ium, triethyl alumin ium, tri-n-butyl aluminium and triisobutyl aluminium (TIBAL). The scavenger is preferably triisobutyl aluminium (TIBAL). The amount of catalyst component ranges between 1 and 4 wt% based on the weight of the supported catalyst system, preferably it is of at most 2 wt%.

Polymerisation can be carried out in gas phase or slurry conditions. The pressure in the reactor can typically vary between 8 and 50 bars. For slurry polymerisation, it varies preferably between 20 and 25 bars.

The polymerisation temperature can range between 70 and 90°C, preferably between 75 and 85°C.

The amount of scavenger can range from 5 to 500 ppm, based on the weight of diluent in the reactor. The diluent for polymerisation is generally an alkane, preferably an alkane with 1 to 10 carbon atoms, more preferably an alkane selected from the groups consisting of propane, butane, isobutane, pentane, hexane, heptane, cyclopentane, cyclohexane, octane and isooctane. Still even more preferably the alkane is isobutane or heptane. Most preferably the alkane is isobutane.

EXAMPLES

Molecular weights are determined by Size Exclusion Chromatography (SEC) at high temperature (145°C). A 10 mg polypropylene or polyethylene sample is dissolved at 160°C in 10 ml of trichlorobenzene (technical grade) for 1 hour. Analytical conditions for the GPCV 2000 from WATERS are:

- Injection volume: +/- 400 μΙ

- Automatic sample preparation and injector temperature: 160 °C

- Column temperature: 145 °C

- Detector temperature: 160 °C

- Column set : 2 Shodex AT-806MS and 1 Styragel HT6E

- Flow rate: 1 ml/min

- Detector: Infrared detector (2800-3000 cm "1 )

- Calibration: Narrow standards of polystyrene (commercially available)

- Calculation for polyethylene: Based on Mark-Houwink relation (logio(M PE ) = 0.965909 logio(Mps) - 0.28264); with cut off on the low molecular weight end at M PE = 1000. The molecular weight distribution (MWD) is then calculated as M w /M n .

Surface area and pore diameter of the silica are determined in accordance with ASTM D 4365, ASTM D 4222 and ASTM D 4641 .

Determination of branches: 13 C-NMR analysis is performed using a 400 MHz Bruker NMR spectrometer under conditions such that the signal intensity in the spectrum is directly proportional to the total number of contributing carbon atoms in the sample. Such conditions are well known to the skilled person and include for example sufficient relaxation time etc. In practice the intensity of a signal is obtained from its integral, i.e. the corresponding area. The data is acquired using proton decoupling, 4000 scans per spectrum, a pulse repetition delay of 20 seconds and a spectral width of 26000 Hz. The sample is prepared by dissolving a sufficient amount of polymer in 1 ,2,4-trichlorobenzene (TCB, 99%, spectroscopic grade) at 130°C and occasional agitation to homogenize the sam ple, fol lowed by the add ition of hexadeuterobenzene (C6D 6 , spectroscopic grade) and a minor amount of hexamethyldisiloxane (HMDS, 99.5+ %), with HMDS serving as internal standard. To give an example, about 200 mg of polymer are dissolved in 2.0 ml of TCB, followed by addition of 0.5 ml of C 6 D 6 and 2 to 3 drops of HMDS.

Following data acquisition the chemical shifts are referenced to the signal of the internal standard H M DS, wh ich is assig ned a val ue of 2.03 ppm. Assignment of the respective chemical shifts is then done based on literature references.

Determination of activation energy: RDA measurements were carried out on ARES equipment (manufactured by TA Instruments) at frequencies ranging between 0.1 and 320 rad/s and at temperatures of 1 70, 1 90 and 21 0 °C respectively. Such measurements provide an independent determination of the horizontal activation energy. The horizontal activation energy is determined by the superposition of the tan (5) = ί(ω) fu nctions, measured at different temperatures using the method described in Mavridis and Shroft for the determination of the "horizontal activation energy" (H . Mavridis and R.N . Shroft, in Polymer Engineering and Science, 32, 1778, 1992).

Example 1 .

The late transition metal compound was BIAcNp(Mes)NiBr2 represented by formula

It was supported on silica support Sylopol 952 x 1836 commercially available from Grace. Said support has a surface area of 317 m 2 /g, a d50 of 40 μιτι and a pore diameter of 247 A.

The support was activated in toluene with methyl aluminoxane (MAO) in a weight ratio support MAO of 1 :0.6.

The catalyst component was impregnated on the activating support, with a loading of 2 wt%, based on the weight of the loaded supported catalytic system.

The scavenger was TIBAL and the polymerisation solvent was isobutane.

The polymerisation parameters are summarised in Table I displaying the catalyst loading on the support in wt% of catalyst component based on the weight of the loaded supported catalytic system, the amount of scavenger in ppm, the pressure in bars, the temperature in °C and the activity expressed in grams of polymer per gram of supported catalyst system per hour. The polymer properties are displayed in Tables II and III.

Example 2. That example was carried out using the same conditions as those of example 1 except that a smaller amount of scavenger was used as shown in Table I, 60 ppm instead of 300 ppm.

Example 3 (comparative).

This example reproduces the conditions used Example 1 of prior art document US-2006/0199727, using a silica support XPO 21 13 with a surface area of 524 m 2 /g, a d50 of 55.9 μιτι and a mean pore diameter of 1 14 A. The catalyst component was the same as that of the present invention, but the activated support was different, it contained less aluminium than that of the present invention, 5 wt% versus 1 5 wt%, and the catalyst loading on the support was of 10 wt% therefore higher than in the examples according to the invention where it was of 2 wt%.

The activating agent used for preparing the support was trimethylaluminium.

The solvent used for supporting was dichloromethane and the polymerisation solvent was heptane.

The polymerisation conditions are reported in Table I and the results are summarised in Tables II and III.

It must be noted that the polymerisation temperature and pressure were smaller than those of the present invention for the same percentage of ethylene in the solvent. TABLE I.

The distribution of short and long chain branching determined by 13 C RMN each example was as follows.

In example 1 .

Branching /1000 CH2

Total branching 24.8

isolated methyl branches 14.9

methyl 1 , 4 branches 1 .5

methyl 1 , 5 branches 0.2

methyl 1 , 6 branches 1 .2

Total methyl branches 17.8

Ethyl branches 2.6

Propyl branches 1 .4

Butyl branches 1 .0

Amyl branches 0.9

NL (1 ,4) branches 0.3

isolated NL branches 0.7

Total branches with length equal to

or higher than 6 carbon atoms 1 .0 In example 2.

Branching /1000 CH2

Total branching 24.5 isolated methyl branches 14.4 methyl 1 , 4 branches 1 .6 methyl 1 , 5 branches 0.5 methyl 1 , 6 branches 1 .3

Total methyl branches 17.7

Ethyl branches 2.7

Propyl branches 1 .5

Butyl branches 1 .2

Amyl branches 0.8

NL (1 ,4) branches 0.3 isolated NL branches 0.3

Total branches with length equal to or higher than 6 carbon atoms 0.6

In comparative example 3.

Branching /1000 CH2

Total branching 25.1 isolated methyl branches 12.3 methyl 1 , 4 branches 1 .3 methyl 1 , 5 branches 0.4 methyl 1 , 6 branches 2.1

Total methyl branches 16.1

Ethyl branches 2.4

Propyl branches 1 .7

Butyl branches 1 .6

Amyl branches 1 .1

NL (1 ,4) branches 0.4 isolated NL branches 1 .8

Total branches with length equal to or higher than 6 carbon atoms 2.2 As discussed in the description, it can be seen that the amount and distribution of short chain branching is very similar in all three examples, but the amount of branches with length equal to or higher than 6 carbon atoms is significantly smaller in examples 1 and 2, according to the present invention, than in comparative example 3.

TABLE II

TABLE III. tan(5) as a function of frequency ω is reported in Fig u res 1 , 2 and 3 respectively for examples 1 , 2 and 3. It must be noted that these figures include an horizontal shift for measurements carried out at 170 and 210 °C in order to align them to those carried out at 190 °C. It can be observed that the curves of example 3 do not exhibit the same excellent superposition at frequencies higher than 1 rad/s as those of examples 1 and 2. Without wishing to be bound by a theory, it is believed that such superposition problem in RDA measurements describing the polymer of example 3 is the evidence of the influence, in addition to the linear chains, of long chain branching effect in the frequency range higher than 1 rad/s. In the frequency range higher than 1 rad/s, the absence of superposition problems in RDA measurements describing examples 1 and 2 is associated to the absence of long chain branching effect in the high frequency range.