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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: mPW1PW91/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at mPW1PW91/cc-pVTZ
 hartrees
Energy at 0K-463.346056
Energy at 298.15K-463.356361
Nuclear repulsion energy602.767664
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3219 3088 0.00      
2 A 3205 3074 0.00      
3 A 3188 3058 0.00      
4 A 1671 1602 0.00      
5 A 1556 1492 0.00      
6 A 1321 1268 0.00      
7 A 1214 1164 0.00      
8 A 1066 1023 0.00      
9 A 1027 985 0.00      
10 A 1001 960 0.00      
11 A 869 833 0.00      
12 A 762 730 0.00      
13 A 422 405 0.00      
14 A 315 302 0.00      
15 A 69 66 0.00      
16 B1 3218 3087 28.08      
17 B1 3202 3071 17.77      
18 B1 3187 3057 7.48      
19 B1 1672 1603 13.18      
20 B1 1528 1466 35.12      
21 B1 1206 1157 0.59      
22 B1 1077 1033 3.87      
23 B1 1037 994 6.19      
24 B1 1023 981 0.56      
25 B1 1000 959 0.76      
26 B1 868 833 0.44      
27 B1 623 598 7.38      
28 B1 416 399 0.39      
29 B2 3211 3080 38.55      
30 B2 3195 3065 2.86      
31 B2 1636 1569 4.26      
32 B2 1475 1415 9.56      
33 B2 1375 1318 0.43      
34 B2 1316 1263 2.20      
35 B2 1184 1136 0.03      
36 B2 1112 1067 8.92      
37 B2 1018 976 0.09      
38 B2 957 918 1.35      
39 B2 808 775 6.03      
40 B2 720 691 9.47      
41 B2 639 613 0.06      
42 B2 563 540 2.81      
43 B2 268 257 0.02      
44 B2 126 120 0.10      
45 B3 3209 3078 6.23      
46 B3 3192 3062 0.00      
47 B3 1653 1585 0.18      
48 B3 1503 1442 1.49      
49 B3 1360 1304 0.10      
50 B3 1354 1299 0.00      
51 B3 1184 1135 0.00      
52 B3 1115 1069 0.79      
53 B3 1017 976 0.11      
54 B3 937 899 2.89      
55 B3 764 733 64.15      
56 B3 725 695 67.51      
57 B3 627 601 0.00      
58 B3 503 482 7.88      
59 B3 372 357 0.34      
60 B3 94 91 0.84      

Unscaled Zero Point Vibrational Energy (zpe) 40085.5 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 38450.0 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/cc-pVTZ
ABC
0.09666 0.01845 0.01606

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVTZ

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.738
C2 0.000 0.000 -0.738
C3 -0.395 1.130 1.455
C4 0.395 -1.130 1.455
C5 -0.395 -1.130 -1.455
C6 0.395 1.130 -1.455
C7 -0.395 1.130 2.840
C8 0.395 -1.130 2.840
C9 -0.395 -1.130 -2.840
C10 0.395 1.130 -2.840
C11 0.000 0.000 3.539
C12 0.000 0.000 -3.539
H13 -0.729 2.009 0.919
H14 0.729 -2.009 0.919
H15 -0.729 -2.009 -0.919
H16 0.729 2.009 -0.919
H17 -0.714 2.015 3.375
H18 0.714 -2.015 3.375
H19 -0.714 -2.015 -3.375
H20 0.714 2.015 -3.375
H21 0.000 0.000 4.620
H22 0.000 0.000 -4.620

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22
C11.47641.39501.39502.49842.49842.41862.41863.77283.77282.80044.27682.14452.14452.70442.70443.39453.39454.63554.63553.88215.3585
C21.47642.49842.49841.39501.39503.77283.77282.41862.41864.27682.80042.70442.70442.14452.14454.63554.63553.39453.39455.35853.8821
C31.39502.49842.39363.68413.01491.38472.76584.85284.36652.40305.13481.08203.37633.94952.76982.13833.84785.77225.03393.38426.1919
C41.39502.49842.39363.01493.68412.76581.38474.36654.85282.40305.13483.37631.08202.76983.94953.84782.13835.03395.77223.38426.1919
C52.49841.39503.68413.01492.39364.85284.36651.38472.76585.13482.40303.94952.76981.08203.37635.77225.03392.13833.84786.19193.3842
C62.49841.39503.01493.68412.39364.36654.85282.76581.38475.13482.40302.76983.94953.37631.08205.03395.77223.84782.13836.19193.3842
C72.41863.77281.38472.76584.85284.36652.39486.11255.73391.38656.48962.13783.84764.90864.02051.08213.37786.97246.37452.14597.5554
C82.41863.77282.76581.38474.36654.85282.39485.73396.11251.38656.48963.84762.13784.02054.90863.37781.08216.37456.97242.14597.5554
C93.77282.41864.85284.36651.38472.76586.11255.73392.39486.48961.38654.90864.02052.13783.84766.97246.37451.08213.37787.55542.1459
C103.77282.41864.36654.85282.76581.38475.73396.11252.39486.48961.38654.02054.90863.84762.13786.37456.97243.37781.08217.55542.1459
C112.80044.27682.40302.40305.13485.13481.38651.38656.48966.48967.07713.38033.38034.94364.94362.14392.14397.23657.23651.08188.1589
C124.27682.80045.13485.13482.40302.40306.48966.48961.38651.38657.07714.94364.94363.38033.38037.23657.23652.14392.14398.15891.0818
H132.14452.70441.08203.37633.94952.76982.13783.84764.90864.02053.38034.94364.27374.41832.34632.45574.92975.88484.53024.27365.9375
H142.14452.70443.37631.08202.76983.94953.84762.13784.02054.90863.38034.94364.27372.34634.41834.92972.45574.53025.88484.27365.9375
H152.70442.14453.94952.76981.08203.37634.90864.02052.13783.84764.94363.38034.41832.34634.27375.88484.53022.45574.92975.93754.2736
H162.70442.14452.76983.94953.37631.08204.02054.90863.84762.13784.94363.38032.34634.41834.27374.53025.88484.92972.45575.93754.2736
H173.39454.63552.13833.84785.77225.03391.08213.37786.97246.37452.14397.23652.45574.92975.88484.53024.27547.86146.89942.47408.2761
H183.39454.63553.84782.13835.03395.77223.37781.08216.37456.97242.14397.23654.92972.45574.53025.88484.27546.89947.86142.47408.2761
H194.63553.39455.77225.03392.13833.84786.97246.37451.08213.37787.23652.14395.88484.53022.45574.92977.86146.89944.27548.27612.4740
H204.63553.39455.03395.77223.84782.13836.37456.97243.37781.08217.23652.14394.53025.88484.92972.45576.89947.86144.27548.27612.4740
H213.88215.35853.38423.38426.19196.19192.14592.14597.55547.55541.08188.15894.27364.27365.93755.93752.47402.47408.27618.27619.2406
H225.35853.88216.19196.19193.38423.38427.55547.55542.14592.14598.15891.08185.93755.93754.27364.27368.27618.27612.47402.47409.2406

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.913 C1 C2 C6 120.913
C1 C3 C7 120.937 C1 C3 H13 119.406
C1 C4 C8 120.937 C1 C4 H14 119.406
C2 C1 C3 120.913 C2 C1 C4 120.913
C2 C5 C9 120.937 C2 C5 H15 119.406
C2 C6 C10 120.937 C2 C6 H16 119.406
C3 C1 C4 118.173 C3 C7 C11 120.251
C3 C7 H17 119.680 C4 C8 C11 120.251
C4 C8 H18 119.680 C5 C2 C6 118.173
C5 C9 C12 120.251 C5 C9 H19 119.680
C6 C10 C12 120.251 C6 C10 H20 119.680
C7 C3 H13 119.639 C7 C11 C8 119.450
C7 C11 H21 120.275 C8 C4 H14 119.639
C8 C11 H21 120.275 C9 C5 H15 119.639
C9 C12 C10 119.450 C9 C12 H22 120.275
C10 C6 H16 119.639 C10 C12 H22 120.275
C11 C7 H17 120.067 C11 C8 H18 120.067
C12 C9 H19 120.067 C12 C10 H20 120.067
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.047      
2 C 0.047      
3 C -0.116      
4 C -0.116      
5 C -0.116      
6 C -0.116      
7 C -0.105      
8 C -0.105      
9 C -0.105      
10 C -0.105      
11 C -0.107      
12 C -0.107      
13 H 0.100      
14 H 0.100      
15 H 0.100      
16 H 0.100      
17 H 0.100      
18 H 0.100      
19 H 0.100      
20 H 0.100      
21 H 0.101      
22 H 0.101      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -74.456 0.000 0.000
y 0.000 -63.029 0.000
z 0.000 0.000 -61.494
Traceless
 xyz
x -12.195 0.000 0.000
y 0.000 4.946 0.000
z 0.000 0.000 7.248
Polar
3z2-r214.496
x2-y2-11.427
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.562 0.000 0.000
y 0.000 19.201 0.000
z 0.000 0.000 29.548


<r2> (average value of r2) Å2
<r2> 639.504
(<r2>)1/2 25.288