Download Exam 1 equation sheet

MTLE 4050/6963: Introduction to Polymers.
R = 8.314 J/molK = 1.987 cal/molK
NA = 6.02 ×1023 1/mol
h = 6.623 ×10−34 Js = 4.136 ×10-15 eVs
k = 1.38 ×10−23 J/K = 8.617 ×10−5 eV/K
Mn =
∑ ni M i
∑ ni
Mw =
∑ wi M i
∑ wi
Đ=
DPn ⋅ m = M n
T=
R
2
( )
p φi =
=
c ω
1
k
=
υ0 =
λ 2π
2π mr
ω = 2πυ
µ
ΔE = hυ = Β0
µ
υ L = Β0
Ι
hΙ
µ = γΙ
∑ ni M i2
∑ ni M i
Mn
P(r / m) =
− E / RT
i
3
∑e
H2
C
φ
− E / RT
i
1.5
4
C
H2
H2
C
109.5o
R
SAW
(
1/2
)
=Rℓ2 Co ∝
NN
SAW
(mm)
(m)
θ
C
H2
! 1 / 3, bad solv.
#
ν = " 1 / 2, θ solv., melt
# 3 / 5, good solv.
$
νv
F0
(
mr ω 02 − ω 2
P(r / r) =
P(m / r) =
(rr)
(r)
(rm) / 2
(r)
(mm) = (mmm) + (mmr) / 2
(rr) = (rrr) + (mrr) / 2
(mr) = (mmr) + 2(rmr) = (mrr) + 2(mrm)
i=1
2
(mr) / 2
(m)
P(m / m) =
" 1+ cosθ %" 1+ cos φ %
'
=ℓ N $
'$
# 1− cosθ &$# 1− cos φ '&
e
C=
mAmB
mA + mB
(m) = (mm) + (mr) / 2
(r) = (rr) + (mr) / 2
Mw
!I $
A = ln # o & = ε[c]ℓ
"I%
Io
I
mr =
υ=
P(m / mm) =
(mmm)
(mm)
P(m / rm) =
(mmr)
(mr)
P(m / mr) =
2(mrm)
(mr)
P(m / rr) =
(mrr)
2(rr)
1"
H"
Abridged"Periodic"Table"
1.000"
6"
R 2 = ℓ K N K = ℓ C∞ N
(
3
! β $ − β 2 R2
P(R) = #
& e
" π%
)
β=
C"
3
2ℓ 2 N
7"
N"
8"
O"
(
)
F"
12.101"
14.007"
15.999"
18.998"
14"
15"
16"
17"
30.974"
32.060"
35.453"
34"
35"
Si"
28.085"
P"
S"
Se"
3
! β $ − β 2 R2
W (R)dR = #
4π R 2 dR
& e
" π%
9"
78.963"
Cl"
Br"
79.904"
53"
I"
126.90"
)