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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: PBEPBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-462.711946
Energy at 298.15K-462.721802
Nuclear repulsion energy596.348214
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 PBEPBE/6-31G**
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 3143 3100 0.00      
2 A 3129 3086 0.00      
3 A 3113 3070 0.00      
4 A 1612 1590 0.00      
5 A 1504 1483 0.00      
6 A 1282 1264 0.00      
7 A 1181 1164 0.00      
8 A 1035 1021 0.00      
9 A 988 974 0.00      
10 A 935 922 0.00      
11 A 829 818 0.00      
12 A 736 726 0.00      
13 A 406 400 0.00      
14 A 308 303 0.00      
15 A 72 71 0.00      
16 B1 3142 3099 37.12      
17 B1 3126 3083 19.28      
18 B1 3112 3069 9.07      
19 B1 1617 1595 11.11      
20 B1 1478 1458 26.90      
21 B1 1171 1155 0.77      
22 B1 1044 1030 3.48      
23 B1 1003 989 3.38      
24 B1 980 967 1.73      
25 B1 932 919 1.04      
26 B1 827 816 0.85      
27 B1 601 593 7.84      
28 B1 399 393 0.34      
29 B2 3134 3091 51.01      
30 B2 3119 3077 1.95      
31 B2 1581 1559 3.43      
32 B2 1430 1410 6.96      
33 B2 1359 1340 0.12      
34 B2 1284 1266 3.92      
35 B2 1154 1138 0.06      
36 B2 1081 1066 7.99      
37 B2 956 943 0.02      
38 B2 901 889 0.77      
39 B2 768 757 4.75      
40 B2 690 680 5.78      
41 B2 618 610 0.02      
42 B2 540 532 1.55      
43 B2 260 256 0.03      
44 B2 124 123 0.05      
45 B3 3132 3090 7.53      
46 B3 3117 3074 0.04      
47 B3 1596 1574 0.09      
48 B3 1454 1435 1.01      
49 B3 1358 1340 0.00      
50 B3 1305 1287 0.07      
51 B3 1153 1137 0.00      
52 B3 1083 1068 0.51      
53 B3 956 943 0.15      
54 B3 884 871 2.60      
55 B3 727 717 64.98      
56 B3 691 682 36.90      
57 B3 606 598 0.00      
58 B3 481 475 4.75      
59 B3 361 356 0.16      
60 B3 91 90 0.60      

Unscaled Zero Point Vibrational Energy (zpe) 38847.6 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 38315.3 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 PBEPBE/6-31G**
ABC
0.09445 0.01811 0.01571

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G**

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.743
C2 0.000 0.000 -0.743
C3 -0.383 1.149 1.469
C4 0.383 -1.149 1.469
C5 -0.383 -1.149 -1.469
C6 0.383 1.149 -1.469
C7 -0.382 1.149 2.869
C8 0.382 -1.149 2.869
C9 -0.382 -1.149 -2.869
C10 0.382 1.149 -2.869
C11 0.000 0.000 3.575
C12 0.000 0.000 -3.575
H13 -0.712 2.040 0.926
H14 0.712 -2.040 0.926
H15 -0.712 -2.040 -0.926
H16 0.712 2.040 -0.926
H17 -0.692 2.048 3.410
H18 0.692 -2.048 3.410
H19 -0.692 -2.048 -3.410
H20 0.692 2.048 -3.410
H21 0.000 0.000 4.669
H22 0.000 0.000 -4.669

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
C11.48531.41201.41202.52132.52132.44672.44673.80903.80902.83264.31802.16862.16862.73002.73003.43363.43364.68194.68193.92675.4120
C21.48532.52132.52131.41201.41203.80903.80902.44672.44674.31802.83262.73002.73002.16862.16864.68194.68193.43363.43365.41203.9267
C31.41202.52132.42213.72943.03581.39982.79774.90854.40442.42985.18741.09433.41534.00152.77972.16183.89205.84135.07623.42206.2564
C41.41202.52132.42213.03583.72942.79771.39984.40444.90852.42985.18743.41531.09432.77974.00153.89202.16185.07625.84133.42206.2564
C52.52131.41203.72943.03582.42214.90854.40441.39982.79775.18742.42984.00152.77971.09433.41535.84135.07622.16183.89206.25643.4220
C62.52131.41203.03583.72942.42214.40444.90852.79771.39985.18742.42982.77974.00153.41531.09435.07625.84133.89202.16186.25643.4220
C72.44673.80901.39982.79774.90854.40442.42246.18045.78791.40236.55672.16273.89174.96774.04821.09433.41667.05286.43312.17027.6346
C82.44673.80902.79771.39984.40444.90852.42245.78796.18041.40236.55673.89172.16274.04824.96773.41661.09436.43317.05282.17027.6346
C93.80902.44674.90854.40441.39982.79776.18045.78792.42246.55671.40234.96774.04822.16273.89177.05286.43311.09433.41667.63462.1702
C103.80902.44674.40444.90852.79771.39985.78796.18042.42246.55671.40234.04824.96773.89172.16276.43317.05283.41661.09437.63462.1702
C112.83264.31802.42982.42985.18745.18741.40231.40236.55676.55677.15063.41903.41904.99284.99282.16852.16857.31237.31231.09408.2446
C124.31802.83265.18745.18742.42982.42986.55676.55671.40231.40237.15064.99284.99283.41903.41907.31237.31232.16852.16858.24461.0940
H132.16862.73001.09433.41534.00152.77972.16273.89174.96774.04823.41904.99284.32184.48102.33532.48444.98605.95964.55734.32255.9978
H142.16862.73003.41531.09432.77974.00153.89172.16274.04824.96773.41904.99284.32182.33534.48104.98602.48444.55735.95964.32255.9978
H152.73002.16864.00152.77971.09433.41534.96774.04822.16273.89174.99283.41904.48102.33534.32185.95964.55732.48444.98605.99784.3225
H162.73002.16862.77974.00153.41531.09434.04824.96773.89172.16274.99283.41902.33534.48104.32184.55735.95964.98602.48445.99784.3225
H173.43364.68192.16183.89205.84135.07621.09433.41667.05286.43312.16857.31232.48444.98605.95964.55734.32447.95606.95912.50228.3637
H183.43364.68193.89202.16185.07625.84133.41661.09436.43317.05282.16857.31234.98602.48444.55735.95964.32446.95917.95602.50228.3637
H194.68193.43365.84135.07622.16183.89207.05286.43311.09433.41667.31232.16855.95964.55732.48444.98607.95606.95914.32448.36372.5022
H204.68193.43365.07625.84133.89202.16186.43317.05283.41661.09437.31232.16854.55735.95964.98602.48446.95917.95604.32448.36372.5022
H213.92675.41203.42203.42206.25646.25642.17022.17027.63467.63461.09408.24464.32254.32255.99785.99782.50222.50228.36378.36379.3386
H225.41203.92676.25646.25643.42203.42207.63467.63462.17022.17028.24461.09405.99785.99784.32254.32258.36378.36372.50222.50229.3386

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.945 C1 C2 C6 120.945
C1 C3 C7 120.951 C1 C3 H13 119.279
C1 C4 C8 120.951 C1 C4 H14 119.279
C2 C1 C3 120.945 C2 C1 C4 120.945
C2 C5 C9 120.951 C2 C5 H15 119.279
C2 C6 C10 120.951 C2 C6 H16 119.279
C3 C1 C4 118.110 C3 C7 C11 120.256
C3 C7 H17 119.662 C4 C8 C11 120.256
C4 C8 H18 119.662 C5 C2 C6 118.110
C5 C9 C12 120.256 C5 C9 H19 119.662
C6 C10 C12 120.256 C6 C10 H20 119.662
C7 C3 H13 119.747 C7 C11 C8 119.475
C7 C11 H21 120.263 C8 C4 H14 119.747
C8 C11 H21 120.263 C9 C5 H15 119.747
C9 C12 C10 119.475 C9 C12 H22 120.263
C10 C6 H16 119.747 C10 C12 H22 120.263
C11 C7 H17 120.078 C11 C8 H18 120.078
C12 C9 H19 120.078 C12 C10 H20 120.078
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.056      
2 C 0.056      
3 C -0.120      
4 C -0.120      
5 C -0.120      
6 C -0.120      
7 C -0.105      
8 C -0.105      
9 C -0.105      
10 C -0.105      
11 C -0.093      
12 C -0.093      
13 H 0.097      
14 H 0.097      
15 H 0.097      
16 H 0.097      
17 H 0.098      
18 H 0.098      
19 H 0.098      
20 H 0.098      
21 H 0.097      
22 H 0.097      


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 -73.461 0.000 0.000
y 0.000 -62.441 0.000
z 0.000 0.000 -60.630
Traceless
 xyz
x -11.926 0.000 0.000
y 0.000 4.605 0.000
z 0.000 0.000 7.321
Polar
3z2-r214.642
x2-y2-11.020
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.651 0.000 0.000
y 0.000 18.402 0.000
z 0.000 0.000 29.814


<r2> (average value of r2) Å2
<r2> 651.525
(<r2>)1/2 25.525