1.2 Configuration of Macromolecules
Topic 1
• Configurational Isomerism
• Fischer Projection
• R/S Nomenclature for Configurational Isomers
• Tacticity
• Characterization of Tacticity in Real Polymers
Average Tacticity
Average Sequence Length
To raise two questions ?
Isotactic or syndiotactic ?
C
R H
C
CO
O
R H
R H
C
O
R H
C
C
C
R H
R H
C
R H
C
CC
C
R H
C
R H
C
C
C
R HR H
R H R H R H
Isotactic or syndiotactic ?
What does
configuration mean
??
Configuration means
different types of atoms or
atomic groups
in their steric relationship
for a certain constitution
For a certain constitution means
for a certain chemical composition
a certain linking sequence
and a certain linking type
Steric relationship means:
C = C
HH
CH3 CH3
C =C
H
CH3
CH3
H
cis trans
C
Cl
H3C
H
C2 H5
C
Cl
H5C2 H
CH3
counterclockwise clockwise
not their position
Configurational Isomerism
double bond
origin asymmetric center
chiral molecule propadiene derivative
phenylbenzene derivative
H
Cl
C C CH
Cl
C C C
H
Cl
H
Cl
COOH
COOH
NO2
NO2
COOH
NO2
COOH
NO2
phenylbenzene derivative
Note:a, the internal rotation round the single bond can not take
b, the two rings are perpendicular each other
c, no symmetry elements exist in this kind of molecules
Can we use
Fischer Projection
to describe the configuration
of macromolecules
??
Fischer Projection Rules
for 1 C* molecule
ClH
CH3
C2H5
CH3
C2H5
HCl
a, the cross curve replaces the tetrahedron
b, the cross point replaces the asymmetric carbon
c, the horizontal line replaces the two bonds pointing forward
d, the vertical line replaces the two bonds pointing backward
e, the vertical line also replaces a carbon chain
C
Fischer Projection Rules
for 2 C* molecule
C1*
C2*
H OH
H
COOH
COOH
OH
COOH
COOH
OH
OH
H
H
a, the C* projection should be taken one by one
b, while taking the C1* projection, put COOH and C2* on the vertical line
c, while taking the C2* projection, put COOH and C1* on the vertical line
Pointing forward Pointing backward
Fischer Projection Rules
for 3 C* molecule
H
CH2OH
OHC3*
C1*
H OH
CHO
HHO
C2*
CHO
CH2OH
OH
OH
OH
H
H
H
CHO
CH2OH
OH
H
OH
H
HO
H
stereo scheme Fischer projection direct projection
a, while projecting C1*, put the light in front of this paper
b, while projecting C2*, put the light on the back of this paper
c, while projecting C3*, put the light in front of this paper again
Fischer Projection
can describe the configuration
quite clear,
but not for
macromolecules
Can we use
R/S system
to describe the configuration
of macromolecules
??
R/S System Rule
A, Number the atoms or groups linked with C* from 1 to 4
based on the atomic number of the atom bonded with C*
a, “1” the lowest atomic number, “4” the highest one
b, based on the atomic number of the second atom linked
with C* indirectly
c, consider C=A as , C B as
A
C
A
B
C B
B
B, Circling and naming based on the serial number :
a, Put the “1” atom far away from the observer
b, Circling from “4” to “2” :
clockwise R, counterclockwise S
HHO
CH3
CH2
CH3
②
①④
③
HHO
CH3
C2H5
R
HHO
C2H5
CH3
S
R/S System for 1C*
R/S System for 2C*
meso
2R,3S -m- tartaric acid
S
S
C1*
C2*
HO H
H
COOH
COOH
OH
COOH
COOH
H
OH
HO
H
racemic (-)
2S,3S (-) tartaric acid
COOH
COOH
OH
OH
H
H
C1*
C2*
H OH
H
COOH
COOH
OH
R
S
R
R
C1*
C2*
H OH
HO
COOH
COOH
H
COOH
COOH
OH
H
H
HO
racemic (+)
2R,3R (+) tartaric acid
R/S system
can describe the configuration
of organic compound,
but not for
macromolecules.
Why ?
Reason 1: too many configurational isomers
a
a
b d
a
a
b
b
d
d
a
a
b
b
d
d
b d
a
a
b
b
d
d
b d
b d
d
d
d
d
d
d
d
d
d
d
d
b
b
b
b
b
b
b
b
b
b
b
Pseudo asymmetric
carbon atom
R
R
R
R
R
S
S
SS
S
S
Reason 2: reversal of configuration
What kind of method
can describe
the configuration of
macromolecules ?
No method ! Why ?
For organic molecules,
the subject of configuration means:
to distinguish their configurational isomers,
to name each of the isomers,
to separate them one another.
Because different configurational isomer
has different property and different use.
For macromolecules,
people can not distinguish their configurational isomers,
can not name them,
can not separate them,
there are no relationships between properties and isomers,
there are relationships between properties and tacticity.
Therefor, the subject of configuration for polymer means:
to determine the types of ideal tactic configurations,
to characterize the configurational tacticity in real polymers.
Relationship between properties and tacticity
of macromolecules
polymer crystallinity Tm
(℃)
Tg
(℃)
ρ
103(kg/m3)
at-PMMA
it-PMMA
st-PMMA
-
+
+
╱
160
200
104
45
115
1.188
1.220
1.190
at-PS
it-PS
-
+
╱
230
90~100
100
1.052
1.127
Softening point
(℃)
at-PP
it-PP
-
+
75
160
0.85
0.92
at-PB[1]
it-PB[1]
-
+
65
128
0.87
0.91
h, if sign sequence is …(+)(-)(-)(+)(+)(-)(-)(+)… “ s t “
g, if sign sequence is …(+)(-)(+)(-)(+)(-)(+)(-)… “ i t ”
Corradini Method
+ - + - + - + - + -
R H R H R H R H R H
b, observe all of atoms in the molecule at the same time
c, front chain > R > r ( front chain > R > H )
d, circling from r to R to front chain
e, if clockwise, mark the near bond with “+”, far bond with “-”
f, if counterclockwise, mark the near bond with “-”, far bond with “+”
a, fix the observation point
Ideal Holotactic & Monotactic Polymers
Holotactic(全规)----100% tactic
Monotactic(单中心等规)----one asymmetric center / base unit
R H
R H
C
R H
C
CC
C
R H
C
C
R H
C
C
C
R HR H
R H R H R H
poly(ethylidene) 聚乙叉 或 聚亚乙基
one asymmetric central atom / chain link i t or st ?
sign sequence:(+) (-) (-) (+)(+) (-) (-) (+) (+) (- ) (-) (+) (+) (-) (-) (+)
+ - - - - -+ + + +
R=CH3
+- +- +- +- +-
poly(propylene oxide) 聚氧化丙烯
one asymmetric central atom / three chain links
i t or st ?
Sign sequence: :(+) (-) (+) (-) (+) (-) (+) (-)
C
R H
C
CO
O
H R
R H
C
O
H R
C
C
C+ - + -
+ - + -
R=CH3
C
R H
C
CO
O
R H
R H
C
O
R H
C
C
C+ - + -
+- +-
R=CH3
Sign sequence: :(+) (-) (-) (+)(+) (-) (-) (+)
Ideal Holotactic & Ditactic Polymers
“ditactic”----two different kinds of asymmetric centers / base unit
CH CH
CH3 C2H5
-( )n-CH CH
CH3 C2H5
n
Poly[(1-ethyl)-(2-methyl)ethylene
CH CH
CH3 C2H5
- -C C
C2H5
HCH3
H
n
- -C C
HHCH3
C2H5
-C C
C2H5
HCH3
H
-C C
C2H5
HCH3
H
-C C
C2H5
HCH3
H
-
HCH3H C2H5
C C
-C C
HHCH3
C2H5
-C C
HHCH3
C2H5
-C C
HHCH3
C2H5
-
C2H5
CH3H
H
C C
r H
H R
C
r H
C
CC
C
H R
C
C
H R
C
C
C
H RH R
r H r H r H
H
H
H
H
r
R
r
R
sign sequence- r: (+) (-) (+) (-) (+) (-) (+) (-) (+) (- ) (+) (-)
R:(+) (-) (+) (-) (+) (-) (+) (-) (+) (- ) (+) (-)
erythro-diisotactic (eit) (赤型) 叠同双全同立构
r H
R H
C
r H
C
CC
C
R H
C
C
R H
C
C
C
R HR H
r H r H r H
sign sequence- r: (+) (-) (+) (-) (+) (-) (+) (-) (+) (- ) (+) (-)
R:(-) (+) (-) (+) (-) (+) (-) (+) (- ) (+) (-) (+)
threo-diisotactic (tit) (苏型) 对映双全同立构
H
R
H
R
r
H
r
H
H r
R H
C
r H
C
CC
C
H R
C
C
R H
C
C
C
H RR H
H r r H r H
H
H
r
R
r
R
H
H
erythro-disyndiotactic (est) (赤型) 叠同双间同立构
threo-disyndiotactic (tst) (苏型) 对映双间同立构
sign sequence- r: (+) (-) (-) (+) (+) (-) (-) (+) (+) (- ) (-) (+)
R:(+) (-) (-) (+) (+) (-) (-) (+) (+) (- ) (-) (+)
sign sequence- r: (+) (-) (-) (+) (+) (-) (-) (+) (+) (- ) (-)(+)
R:(-) (+) (+) (-) (-) (+) (+) (-) (- ) (+) (+) (-)
H
R
r
H
r
H
H
R
H r
H R
C
r H
C
CC
C
R H
C
C
H R
C
C
C
R HH R
H r r H r H
Characterization of Tacticity in Real Polymers
ideal
holotactic
structure
holotactic &
isotactic polymer
holotactic &
sydiotactic polymer
tactic
structure
in real
polymers
isotactic
in the main
sydiotactic
in the main
less
tacticity
How to characterize
the configuration
in real polymers ?
1. average tacticity
2. average sequence length
Using two parameters
Average Tacticity
m r
i t s t
m ---- meso
r ---- racemic Diads
xi + xs≡1
xi----mole fraction of diads “it”
xs----mole fraction of diads “st”
I + S ≡1 I ---- isotacticity of diads
S ---- syndiotacticity of diads
i t ---- isotactic diads
st ---- syndiotactic diads
NMR of PMMA
Fr
Fm
Fmm
Fr r
Fm r
I=Fm /(Fm+Fr)
S=Fr /(Fm+Fr)
I = S = 0.5 I = S= 0.5
Illustrate with PMMA
C* C C*
CH3
CH3Ha
Hb C=O
C=O
OCH3
OCH3
C* C C*
CH3 CH3
Ha
Hb
C=OC=O
OCH3 OCH3
r
C* C C*
CH3
CH3Ha
Hb C=O
C=O
OCH3
OCH3
m
s t i t
In st-PMMA, two methylene proton Ha and Hb are in a chemically equivalent environment.
In it-PMMA, two methylene proton Ha and Hb are in a chemically nonequivalent environment.
This leads to a single proton resonance signal, i.e. a single peak.
In addition, spin of Ha coulpe with spin of Hb, it leads to two double peaks.
(Ha和Hb互相自旋偶合而分裂为2个双重峰)
C*
CH3
C=O
OCH3
C
H
H
C*
CH3
C=O
OCH3
C
H
H
C*
CH3
C=O
OCH3
m m
C*
CH3
C=O
OCH3
C*
CH3
C=O
OCH3
C
H
H
C
H
H
C*
CH3
C=O
OCH3
r r
C*
CH3
C=O
OCH3
C
H
H
C
H
H
C*
CH3
C=O
OCH3
C*
CH3
C=O
OCH3
m r
Triads
i i ---- isotactic
triads
ss ---- syndiotactic
triads
i s ---- heterotactic
triads
xii + xis+xss≡1
Ⅰ*+H*+S*≡1
I* =Fmm /(Fmm+Fmr+Frr)
H*=Fmr /(Fmm+Fmr+Frr)
S* =Fr r /(Fmm+Fmr+Frr)
xi = xi i +0.5xi s xs = xss +0.5xi s
I* = S* = 0 , H* = 1I* = S* = 0.5 , H* = 0
Average Sequence Length
i i i i i i i i i i i i i
i i ii i i i i
s s s s s s
number of
monomeric
units
sequence
length
(LI)j
number of
sequence
(NI)j
number of
including diads
(NI)j
3
4
7
2
3
6
3
3
1
6
9
6
7 2 1∑
Tactic sequence consists of
at least one tactic linkage,
i.e. at least two monomeric units.
The number of successive linkages
of a like nature is defined as the
sequence length, LI or LS .
The transition from i to s or from s
to i tactic sequence involves a
hetertactic triad, “i -s” or “s -i ”. Number average sequence length of syndiotactic sequence
(LS)n = 2xs / xis , (LS)n = 2S / H*
Number average sequence length of isotactic sequence
(LI)n = [∑j(NI)j(LI)j] / ∑(NI)j = 2Ni d/Nht = 2xi/xis
(LI)n = 2I / H*
Number average sequence length of all tactic sequence
(L)n = 1 / xis , (L)n = 1 / H*
Example
(LI)n = (6 + 9 + 6 ) / 7 = 3
= 2 (6 + 9 + 6 ) / (12 +2) = 3
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