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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: B3LYP/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at B3LYP/cc-pVDZ
 hartrees
Energy at 0K-463.333574
Energy at 298.15K-463.343793
Nuclear repulsion energy597.552119
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 B3LYP/cc-pVDZ
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 3202 3106 0.00      
2 A 3189 3093 0.00      
3 A 3170 3075 0.00      
4 A 1653 1604 0.00      
5 A 1537 1491 0.00      
6 A 1306 1267 0.00      
7 A 1201 1165 0.00      
8 A 1055 1023 0.00      
9 A 1015 985 0.00      
10 A 988 958 0.00      
11 A 861 835 0.00      
12 A 755 732 0.00      
13 A 420 408 0.00      
14 A 314 305 0.00      
15 A 65 63 0.00      
16 B1 3201 3105 31.26      
17 B1 3185 3090 27.02      
18 B1 3169 3074 7.44      
19 B1 1655 1605 11.59      
20 B1 1511 1465 28.82      
21 B1 1192 1156 0.55      
22 B1 1065 1033 3.11      
23 B1 1025 994 5.27      
24 B1 1011 980 0.83      
25 B1 987 958 0.80      
26 B1 861 836 0.52      
27 B1 621 603 7.74      
28 B1 415 403 0.36      
29 B2 3195 3099 43.87      
30 B2 3178 3083 7.15      
31 B2 1618 1570 3.81      
32 B2 1458 1414 7.78      
33 B2 1362 1321 0.18      
34 B2 1302 1263 2.82      
35 B2 1171 1136 0.07      
36 B2 1101 1068 7.96      
37 B2 1009 979 0.08      
38 B2 947 918 0.99      
39 B2 802 778 4.12      
40 B2 714 693 7.05      
41 B2 636 617 0.02      
42 B2 561 544 2.06      
43 B2 269 261 0.00      
44 B2 128 125 0.09      
45 B3 3192 3096 7.72      
46 B3 3175 3080 0.11      
47 B3 1635 1586 0.14      
48 B3 1486 1441 1.19      
49 B3 1351 1310 0.02      
50 B3 1337 1297 0.05      
51 B3 1171 1135 0.00      
52 B3 1103 1070 0.70      
53 B3 1009 979 0.11      
54 B3 929 901 2.14      
55 B3 759 736 51.49      
56 B3 718 696 41.11      
57 B3 625 606 0.00      
58 B3 502 487 5.42      
59 B3 371 360 0.23      
60 B3 95 92 0.61      

Unscaled Zero Point Vibrational Energy (zpe) 39766.9 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 38573.9 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 B3LYP/cc-pVDZ
ABC
0.09506 0.01812 0.01579

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVDZ

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.744
C2 0.000 0.000 -0.744
C3 -0.402 1.138 1.468
C4 0.402 -1.138 1.468
C5 -0.402 -1.138 -1.468
C6 0.402 1.138 -1.468
C7 -0.402 1.138 2.865
C8 0.402 -1.138 2.865
C9 -0.402 -1.138 -2.865
C10 0.402 1.138 -2.865
C11 0.000 0.000 3.570
C12 0.000 0.000 -3.570
H13 -0.743 2.024 0.929
H14 0.743 -2.024 0.929
H15 -0.743 -2.024 -0.929
H16 0.743 2.024 -0.929
H17 -0.727 2.031 3.405
H18 0.727 -2.031 3.405
H19 -0.727 -2.031 -3.405
H20 0.727 2.031 -3.405
H21 0.000 0.000 4.662
H22 0.000 0.000 -4.662

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
C11.48761.40751.40752.51982.51982.44022.44023.80493.80492.82594.31362.16452.16452.72952.72953.42523.42524.67574.67573.91835.4059
C21.48762.51982.51981.40751.40753.80493.80492.44022.44024.31362.82592.72952.72952.16452.16454.67574.67573.42523.42525.40593.9183
C31.40752.51982.41363.71503.04461.39632.78864.89414.40682.42345.18051.09213.40613.98312.80112.15703.88125.82155.08113.41426.2480
C41.40752.51982.41363.04463.71502.78861.39634.40684.89412.42345.18053.40611.09212.80113.98313.88122.15705.08115.82153.41426.2480
C52.51981.40753.71503.04462.41364.89414.40681.39632.78865.18052.42343.98312.80111.09213.40615.82155.08112.15703.88126.24803.4142
C62.51981.40753.04463.71502.41364.40684.89412.78861.39635.18052.42342.80113.98313.40611.09215.08115.82153.88122.15706.24803.4142
C72.44023.80491.39632.78864.89414.40682.41426.16475.78531.39806.54662.15563.88054.95104.06101.09263.40707.03206.43242.16527.6228
C82.44023.80492.78861.39634.40684.89412.41425.78536.16471.39806.54663.88052.15564.06104.95103.40701.09266.43247.03202.16527.6228
C93.80492.44024.89414.40681.39632.78866.16475.78532.41426.54661.39804.95104.06102.15563.88057.03206.43241.09263.40707.62282.1652
C103.80492.44024.40684.89412.78861.39635.78536.16472.41426.54661.39804.06104.95103.88052.15566.43247.03203.40701.09267.62282.1652
C112.82594.31362.42342.42345.18055.18051.39801.39806.54666.54667.13953.40913.40914.98934.98932.16312.16317.30047.30041.09238.2319
C124.31362.82595.18055.18052.42342.42346.54666.54661.39801.39807.13954.98934.98933.40913.40917.30047.30042.16312.16318.23191.0923
H132.16452.72951.09213.40613.98312.80112.15563.88054.95104.06103.40914.98934.31314.45532.37982.47534.97315.93544.57674.31085.9930
H142.16452.72953.40611.09212.80113.98313.88052.15564.06104.95103.40914.98934.31312.37984.45534.97312.47534.57675.93544.31085.9930
H152.72952.16453.98312.80111.09213.40614.95104.06102.15563.88054.98933.40914.45532.37984.31315.93544.57672.47534.97315.99304.3108
H162.72952.16452.80113.98313.40611.09214.06104.95103.88052.15564.98933.40912.37984.45534.31314.57675.93544.97312.47535.99304.3108
H173.42524.67572.15703.88125.82155.08111.09263.40707.03206.43242.16317.30042.47534.97315.93544.57674.31367.92856.96292.49668.3502
H183.42524.67573.88122.15705.08115.82153.40701.09266.43247.03202.16317.30044.97312.47534.57675.93544.31366.96297.92852.49668.3502
H194.67573.42525.82155.08112.15703.88127.03206.43241.09263.40707.30042.16315.93544.57672.47534.97317.92856.96294.31368.35022.4966
H204.67573.42525.08115.82153.88122.15706.43247.03203.40701.09267.30042.16314.57675.93544.97312.47536.96297.92854.31368.35022.4966
H213.91835.40593.41423.41426.24806.24802.16522.16527.62287.62281.09238.23194.31084.31085.99305.99302.49662.49668.35028.35029.3242
H225.40593.91836.24806.24803.41423.41427.62287.62282.16522.16528.23191.09235.99305.99304.31084.31088.35028.35022.49662.49669.3242

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.976 C1 C2 C6 120.976
C1 C3 C7 120.989 C1 C3 H13 119.444
C1 C4 C8 120.989 C1 C4 H14 119.444
C2 C1 C3 120.976 C2 C1 C4 120.976
C2 C5 C9 120.989 C2 C5 H15 119.444
C2 C6 C10 120.989 C2 C6 H16 119.444
C3 C1 C4 118.048 C3 C7 C11 120.282
C3 C7 H17 119.642 C4 C8 C11 120.282
C4 C8 H18 119.642 C5 C2 C6 118.048
C5 C9 C12 120.282 C5 C9 H19 119.642
C6 C10 C12 120.282 C6 C10 H20 119.642
C7 C3 H13 119.549 C7 C11 C8 119.410
C7 C11 H21 120.295 C8 C4 H14 119.549
C8 C11 H21 120.295 C9 C5 H15 119.549
C9 C12 C10 119.410 C9 C12 H22 120.295
C10 C6 H16 119.549 C10 C12 H22 120.295
C11 C7 H17 120.074 C11 C8 H18 120.074
C12 C9 H19 120.074 C12 C10 H20 120.074
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.021      
2 C 0.021      
3 C 0.013      
4 C 0.013      
5 C 0.013      
6 C 0.013      
7 C 0.044      
8 C 0.044      
9 C 0.044      
10 C 0.044      
11 C 0.033      
12 C 0.033      
13 H -0.039      
14 H -0.039      
15 H -0.039      
16 H -0.039      
17 H -0.030      
18 H -0.030      
19 H -0.030      
20 H -0.030      
21 H -0.031      
22 H -0.031      


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 -74.338 0.000 0.000
y 0.000 -63.959 0.000
z 0.000 0.000 -62.287
Traceless
 xyz
x -11.215 0.000 0.000
y 0.000 4.354 0.000
z 0.000 0.000 6.861
Polar
3z2-r213.722
x2-y2-10.379
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.469 0.000 0.000
y 0.000 18.703 0.000
z 0.000 0.000 29.351


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000