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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: B3PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at B3PW91/6-311G**
 hartrees
Energy at 0K-463.230617
Energy at 298.15K-463.240816
Nuclear repulsion energy600.670076
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 B3PW91/6-311G**
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 3203 3085 0.00      
2 A 3189 3071 0.00      
3 A 3172 3055 0.00      
4 A 1658 1597 0.00      
5 A 1542 1485 0.00      
6 A 1312 1263 0.00      
7 A 1206 1162 0.00      
8 A 1058 1019 0.00      
9 A 1017 980 0.00      
10 A 985 949 0.00      
11 A 858 827 0.00      
12 A 757 729 0.00      
13 A 418 402 0.00      
14 A 313 301 0.00      
15 A 67 64 0.00      
16 B1 3202 3084 31.79      
17 B1 3186 3069 20.80      
18 B1 3171 3054 7.35      
19 B1 1659 1598 11.73      
20 B1 1515 1459 34.34      
21 B1 1199 1155 0.50      
22 B1 1070 1030 4.67      
23 B1 1027 989 5.95      
24 B1 1013 976 0.85      
25 B1 983 947 0.68      
26 B1 858 826 0.42      
27 B1 621 599 7.54      
28 B1 411 396 0.39      
29 B2 3195 3077 42.78      
30 B2 3179 3062 3.09      
31 B2 1623 1563 4.29      
32 B2 1463 1409 9.79      
33 B2 1367 1316 0.20      
34 B2 1309 1261 2.45      
35 B2 1180 1137 0.04      
36 B2 1104 1063 9.99      
37 B2 1003 966 0.06      
38 B2 942 908 1.29      
39 B2 798 768 6.89      
40 B2 713 687 11.38      
41 B2 636 613 0.02      
42 B2 557 536 3.45      
43 B2 267 257 0.03      
44 B2 123 119 0.11      
45 B3 3193 3075 8.12      
46 B3 3177 3060 0.00      
47 B3 1639 1579 0.21      
48 B3 1490 1435 1.56      
49 B3 1354 1304 0.06      
50 B3 1345 1295 0.01      
51 B3 1180 1136 0.00      
52 B3 1108 1067 0.90      
53 B3 1003 966 0.12      
54 B3 924 890 3.08      
55 B3 756 728 75.15      
56 B3 716 690 66.83      
57 B3 625 602 0.00      
58 B3 502 484 8.64      
59 B3 366 353 0.39      
60 B3 94 90 0.95      

Unscaled Zero Point Vibrational Energy (zpe) 39800.0 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 38331.4 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 B3PW91/6-311G**
ABC
0.09595 0.01829 0.01599

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.740
C2 0.000 0.000 -0.740
C3 -0.420 1.126 1.459
C4 0.420 -1.126 1.459
C5 -0.420 -1.126 -1.459
C6 0.420 1.126 -1.459
C7 -0.420 1.126 2.849
C8 0.420 -1.126 2.849
C9 -0.420 -1.126 -2.849
C10 0.420 1.126 -2.849
C11 0.000 0.000 3.550
C12 0.000 0.000 -3.550
H13 -0.773 2.000 0.921
H14 0.773 -2.000 0.921
H15 -0.773 -2.000 -0.921
H16 0.773 2.000 -0.921
H17 -0.757 2.006 3.386
H18 0.757 -2.006 3.386
H19 -0.757 -2.006 -3.386
H20 0.757 2.006 -3.386
H21 0.000 0.000 4.635
H22 0.000 0.000 -4.635

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
C11.48091.40011.40012.50642.50642.42672.42673.78503.78502.80934.29022.15142.15142.71232.71233.40573.40574.65054.65053.89435.3751
C21.48092.50642.50641.40011.40013.78503.78502.42672.42674.29022.80932.71232.71232.15142.15144.65054.65053.40573.40575.37513.8943
C31.40012.50642.40313.68603.03661.38962.77614.86104.38892.41135.15101.08523.38823.94452.80212.14533.86135.77945.06333.39526.2112
C41.40012.50642.40313.03663.68602.77611.38964.38894.86102.41135.15103.38821.08522.80213.94453.86132.14535.06335.77943.39526.2112
C52.50641.40013.68603.03662.40314.86104.38891.38962.77615.15102.41133.94452.80211.08523.38825.77945.06332.14533.86136.21123.3952
C62.50641.40013.03663.68602.40314.38894.86102.77611.38965.15102.41132.80213.94453.38821.08525.06335.77943.86132.14536.21123.3952
C72.42673.78501.38962.77614.86104.38892.40356.12645.75891.39136.51032.14553.86114.90994.04941.08523.38936.98566.40562.15277.5793
C82.42673.78502.77611.38964.38894.86102.40355.75896.12641.39136.51033.86112.14554.04944.90993.38931.08526.40566.98562.15277.5793
C93.78502.42674.86104.38891.38962.77616.12645.75892.40356.51031.39134.90994.04942.14553.86116.98566.40561.08523.38937.57932.1527
C103.78502.42674.38894.86102.77611.38965.75896.12642.40356.51031.39134.04944.90993.86112.14556.40566.98563.38931.08527.57932.1527
C112.80934.29022.41132.41135.15105.15101.39131.39136.51036.51037.09953.39193.39194.95834.95832.15092.15097.25987.25981.08498.1844
C124.29022.80935.15105.15102.41132.41136.51036.51031.39131.39137.09954.95834.95833.39193.39197.25987.25982.15092.15098.18441.0849
H132.15142.71231.08523.38823.94452.80212.14553.86114.90994.04943.39194.95834.28764.40312.40502.46494.94635.88224.57104.28795.9551
H142.15142.71233.38821.08522.80213.94453.86112.14554.04944.90993.39194.95834.28762.40504.40314.94632.46494.57105.88224.28795.9551
H152.71232.15143.94452.80211.08523.38824.90994.04942.14553.86114.95833.39194.40312.40504.28765.88224.57102.46494.94635.95514.2879
H162.71232.15142.80213.94453.38821.08524.04944.90993.86112.14554.95833.39192.40504.40314.28764.57105.88224.94632.46495.95514.2879
H173.40574.65052.14533.86135.77945.06331.08523.38936.98566.40562.15097.25982.46494.94635.88224.57104.28937.87176.93942.48178.3025
H183.40574.65053.86132.14535.06335.77943.38931.08526.40566.98562.15097.25984.94632.46494.57105.88224.28936.93947.87172.48178.3025
H194.65053.40575.77945.06332.14533.86136.98566.40561.08523.38937.25982.15095.88224.57102.46494.94637.87176.93944.28938.30252.4817
H204.65053.40575.06335.77943.86132.14536.40566.98563.38931.08527.25982.15094.57105.88224.94632.46496.93947.87174.28938.30252.4817
H213.89435.37513.39523.39526.21126.21122.15272.15277.57937.57931.08498.18444.28794.28795.95515.95512.48172.48178.30258.30259.2694
H225.37513.89436.21126.21123.39523.39527.57937.57932.15272.15278.18441.08495.95515.95514.28794.28798.30258.30252.48172.48179.2694

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.887 C1 C2 C6 120.887
C1 C3 C7 120.897 C1 C3 H13 119.376
C1 C4 C8 120.897 C1 C4 H14 119.376
C2 C1 C3 120.887 C2 C1 C4 120.887
C2 C5 C9 120.897 C2 C5 H15 119.376
C2 C6 C10 120.897 C2 C6 H16 119.376
C3 C1 C4 118.227 C3 C7 C11 120.247
C3 C7 H17 119.687 C4 C8 C11 120.247
C4 C8 H18 119.687 C5 C2 C6 118.227
C5 C9 C12 120.247 C5 C9 H19 119.687
C6 C10 C12 120.247 C6 C10 H20 119.687
C7 C3 H13 119.709 C7 C11 C8 119.486
C7 C11 H21 120.257 C8 C4 H14 119.709
C8 C11 H21 120.257 C9 C5 H15 119.709
C9 C12 C10 119.486 C9 C12 H22 120.257
C10 C6 H16 119.709 C10 C12 H22 120.257
C11 C7 H17 120.064 C11 C8 H18 120.064
C12 C9 H19 120.064 C12 C10 H20 120.064
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.073      
2 C -0.073      
3 C -0.073      
4 C -0.073      
5 C -0.073      
6 C -0.073      
7 C -0.107      
8 C -0.107      
9 C -0.107      
10 C -0.107      
11 C -0.097      
12 C -0.097      
13 H 0.108      
14 H 0.108      
15 H 0.108      
16 H 0.108      
17 H 0.104      
18 H 0.104      
19 H 0.104      
20 H 0.104      
21 H 0.105      
22 H 0.105      


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 -74.655 0.000 0.000
y 0.000 -62.863 0.000
z 0.000 0.000 -60.935
Traceless
 xyz
x -12.756 0.000 0.000
y 0.000 4.932 0.000
z 0.000 0.000 7.824
Polar
3z2-r215.649
x2-y2-11.792
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.450 0.000 0.000
y 0.000 18.481 0.000
z 0.000 0.000 28.907


<r2> (average value of r2) Å2
<r2> 643.272
(<r2>)1/2 25.363