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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: B3LYP/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-463.339066
Energy at 298.15K-463.349225
Nuclear repulsion energy598.142598
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/6-31+G**
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 3208 3093 0.00      
2 A 3196 3081 0.00      
3 A 3178 3064 0.00      
4 A 1650 1591 0.00      
5 A 1543 1487 0.00      
6 A 1306 1259 0.00      
7 A 1212 1169 0.00      
8 A 1055 1017 0.00      
9 A 1016 979 0.00      
10 A 983 948 0.00      
11 A 858 827 0.00      
12 A 755 728 0.00      
13 A 421 406 0.00      
14 A 313 302 0.00      
15 A 65 63 0.00      
16 B1 3207 3092 32.04      
17 B1 3192 3078 26.32      
18 B1 3177 3063 7.36      
19 B1 1651 1592 15.27      
20 B1 1520 1465 26.64      
21 B1 1204 1161 0.30      
22 B1 1068 1030 3.65      
23 B1 1023 986 8.09      
24 B1 1010 974 0.01      
25 B1 983 948 0.62      
26 B1 858 827 0.35      
27 B1 622 600 7.32      
28 B1 415 400 0.37      
29 B2 3201 3086 46.01      
30 B2 3185 3071 6.36      
31 B2 1616 1558 3.18      
32 B2 1465 1412 6.36      
33 B2 1367 1318 0.52      
34 B2 1308 1261 1.66      
35 B2 1185 1142 0.01      
36 B2 1103 1064 8.68      
37 B2 1001 966 0.01      
38 B2 939 906 1.01      
39 B2 793 765 8.31      
40 B2 709 684 10.93      
41 B2 638 615 0.05      
42 B2 557 537 3.00      
43 B2 269 259 0.02      
44 B2 126 122 0.13      
45 B3 3198 3083 8.69      
46 B3 3182 3068 0.03      
47 B3 1631 1573 0.16      
48 B3 1492 1439 0.99      
49 B3 1356 1308 0.06      
50 B3 1344 1296 0.01      
51 B3 1184 1142 0.00      
52 B3 1108 1068 0.84      
53 B3 1002 966 0.06      
54 B3 923 890 2.05      
55 B3 751 724 93.08      
56 B3 712 686 51.89      
57 B3 627 604 0.00      
58 B3 501 483 7.82      
59 B3 367 354 0.35      
60 B3 94 91 0.89      

Unscaled Zero Point Vibrational Energy (zpe) 39810.7 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 38385.5 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/6-31+G**
ABC
0.09520 0.01813 0.01583

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

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 -0.416 1.132 1.466
C4 0.416 -1.132 1.466
C5 -0.416 -1.132 -1.466
C6 0.416 1.132 -1.466
C7 -0.416 1.133 2.862
C8 0.416 -1.133 2.862
C9 -0.416 -1.133 -2.862
C10 0.416 1.133 -2.862
C11 0.000 0.000 3.567
C12 0.000 0.000 -3.567
H13 -0.765 2.010 0.930
H14 0.765 -2.010 0.930
H15 -0.765 -2.010 -0.930
H16 0.765 2.010 -0.930
H17 -0.749 2.016 3.400
H18 0.749 -2.016 3.400
H19 -0.749 -2.016 -3.400
H20 0.749 2.016 -3.400
H21 0.000 0.000 4.653
H22 0.000 0.000 -4.653

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
C11.48731.40631.40632.51782.51782.43832.43833.80253.80252.82324.31052.15852.15852.72482.72483.41783.41784.66834.66833.90935.3966
C21.48732.51782.51781.40631.40633.80253.80252.43832.43834.31052.82322.72482.72482.15852.15854.66834.66833.41783.41785.39663.9093
C31.40632.51782.41283.70523.04861.39592.78804.88564.40782.42235.17581.08613.39943.96662.81202.15173.87435.80535.08113.40736.2371
C41.40632.51782.41283.04863.70522.78801.39594.40784.88562.42235.17583.39941.08612.81203.96663.87432.15175.08115.80533.40736.2371
C52.51781.40633.70523.04862.41284.88564.40781.39592.78805.17582.42233.96662.81201.08613.39945.80535.08112.15173.87436.23713.4073
C62.51781.40633.04863.70522.41284.40784.88562.78801.39595.17582.42232.81203.96663.39941.08615.08115.80533.87432.15176.23713.4073
C72.43833.80251.39592.78804.88564.40782.41396.15675.78461.39766.54142.15073.87384.93744.06721.08643.40087.01726.43022.15957.6115
C82.43833.80252.78801.39594.40784.88562.41395.78466.15671.39766.54143.87382.15074.06724.93743.40081.08646.43027.01722.15957.6115
C93.80252.43834.88564.40781.39592.78806.15675.78462.41396.54141.39764.93744.06722.15073.87387.01726.43021.08643.40087.61152.1595
C103.80252.43834.40784.88562.78801.39595.78466.15672.41396.54141.39764.06724.93743.87382.15076.43027.01723.40081.08647.61152.1595
C112.82324.31052.42232.42235.17585.17581.39761.39766.54146.54147.13373.40283.40284.98434.98432.15772.15777.29097.29091.08618.2198
C124.31052.82325.17585.17582.42232.42236.54146.54141.39761.39767.13374.98434.98433.40283.40287.29097.29092.15772.15778.21981.0861
H132.15852.72481.08613.39943.96662.81202.15073.87384.93744.06723.40284.98434.30094.42852.40862.46994.96025.91204.58664.29975.9825
H142.15852.72483.39941.08612.81203.96663.87382.15074.06724.93743.40284.98434.30092.40864.42854.96022.46994.58665.91204.29975.9825
H152.72482.15853.96662.81201.08613.39944.93744.06722.15073.87384.98433.40284.42852.40864.30095.91204.58662.46994.96025.98254.2997
H162.72482.15852.81203.96663.39941.08614.06724.93743.87382.15074.98433.40282.40864.42854.30094.58665.91204.96022.46995.98254.2997
H173.41784.66832.15173.87435.80535.08111.08643.40087.01726.43022.15777.29092.46994.96025.91204.58664.30247.90516.96232.48978.3349
H183.41784.66833.87432.15175.08115.80533.40081.08646.43027.01722.15777.29094.96022.46994.58665.91204.30246.96237.90512.48978.3349
H194.66833.41785.80535.08112.15173.87437.01726.43021.08643.40087.29092.15775.91204.58662.46994.96027.90516.96234.30248.33492.4897
H204.66833.41785.08115.80533.87432.15176.43027.01723.40081.08647.29092.15774.58665.91204.96022.46996.96237.90514.30248.33492.4897
H213.90935.39663.40733.40736.23716.23712.15952.15957.61157.61151.08618.21984.29974.29975.98255.98252.48972.48978.33498.33499.3059
H225.39663.90936.23716.23713.40733.40737.61157.61152.15952.15958.21981.08615.98255.98254.29974.29978.33498.33492.48972.48979.3059

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.925 C1 C2 C6 120.925
C1 C3 C7 120.948 C1 C3 H13 119.447
C1 C4 C8 120.948 C1 C4 H14 119.447
C2 C1 C3 120.925 C2 C1 C4 120.925
C2 C5 C9 120.948 C2 C5 H15 119.447
C2 C6 C10 120.948 C2 C6 H16 119.447
C3 C1 C4 118.151 C3 C7 C11 120.253
C3 C7 H17 119.662 C4 C8 C11 120.253
C4 C8 H18 119.662 C5 C2 C6 118.151
C5 C9 C12 120.253 C5 C9 H19 119.662
C6 C10 C12 120.253 C6 C10 H20 119.662
C7 C3 H13 119.589 C7 C11 C8 119.448
C7 C11 H21 120.276 C8 C4 H14 119.589
C8 C11 H21 120.276 C9 C5 H15 119.589
C9 C12 C10 119.448 C9 C12 H22 120.276
C10 C6 H16 119.589 C10 C12 H22 120.276
C11 C7 H17 120.083 C11 C8 H18 120.083
C12 C9 H19 120.083 C12 C10 H20 120.083
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.452      
2 C 0.452      
3 C -0.179      
4 C -0.179      
5 C -0.179      
6 C -0.179      
7 C -0.312      
8 C -0.312      
9 C -0.312      
10 C -0.312      
11 C -0.085      
12 C -0.085      
13 H 0.120      
14 H 0.120      
15 H 0.120      
16 H 0.120      
17 H 0.125      
18 H 0.125      
19 H 0.125      
20 H 0.125      
21 H 0.124      
22 H 0.124      


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 -76.036 0.000 0.000
y 0.000 -64.542 0.000
z 0.000 0.000 -63.012
Traceless
 xyz
x -12.258 0.000 0.000
y 0.000 4.982 0.000
z 0.000 0.000 7.277
Polar
3z2-r214.553
x2-y2-11.494
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.400 0.000 0.000
y 0.000 20.133 0.000
z 0.000 0.000 30.625


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