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All results from a given calculation for C7H16 (3-methylhexane)

using model chemistry: B3PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-276.325199
Energy at 298.15K-276.342349
Nuclear repulsion energy322.028409
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 B3PW91/6-31+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 3133 3008 30.72      
2 A 3126 3002 59.44      
3 A 3122 2997 38.73      
4 A 3118 2993 22.69      
5 A 3118 2993 52.55      
6 A 3117 2992 52.70      
7 A 3083 2960 34.61      
8 A 3067 2945 26.80      
9 A 3051 2929 9.62      
10 A 3044 2923 30.02      
11 A 3041 2920 30.45      
12 A 3040 2919 48.69      
13 A 3035 2914 46.00      
14 A 3026 2905 42.64      
15 A 3011 2891 13.95      
16 A 3000 2881 9.37      
17 A 1515 1455 9.47      
18 A 1508 1448 14.51      
19 A 1505 1445 2.69      
20 A 1499 1440 6.92      
21 A 1499 1439 3.86      
22 A 1497 1437 10.40      
23 A 1493 1433 0.72      
24 A 1488 1428 0.15      
25 A 1475 1416 0.34      
26 A 1415 1359 10.77      
27 A 1413 1357 5.94      
28 A 1411 1355 2.12      
29 A 1397 1341 0.76      
30 A 1379 1324 0.16      
31 A 1375 1320 1.15      
32 A 1333 1280 0.28      
33 A 1323 1271 0.90      
34 A 1299 1247 0.68      
35 A 1283 1232 0.23      
36 A 1254 1204 1.81      
37 A 1195 1147 0.01      
38 A 1176 1129 3.44      
39 A 1173 1126 1.80      
40 A 1097 1053 2.03      
41 A 1068 1025 1.16      
42 A 1053 1011 0.11      
43 A 1038 996 0.59      
44 A 1000 960 4.87      
45 A 969 931 3.25      
46 A 944 906 2.50      
47 A 889 854 1.21      
48 A 866 832 0.67      
49 A 825 792 0.19      
50 A 774 743 3.67      
51 A 740 710 1.93      
52 A 502 482 0.20      
53 A 435 418 0.15      
54 A 375 360 0.15      
55 A 320 307 0.03      
56 A 294 282 0.00      
57 A 259 249 0.00      
58 A 242 232 0.01      
59 A 212 203 0.02      
60 A 151 145 0.01      
61 A 105 101 0.01      
62 A 76 73 0.00      
63 A 60 58 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 47664.9 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 45763.1 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 B3PW91/6-31+G**
ABC
0.19257 0.03632 0.03272

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.571 0.139 -0.210
H2 -0.588 0.113 -1.312
C3 -0.769 1.594 0.228
C4 -1.707 -0.768 0.291
C5 0.788 -0.417 0.246
C6 -3.093 -0.443 -0.265
C7 2.018 0.256 -0.367
C8 3.327 -0.417 0.046
H9 -0.760 1.673 1.323
H10 0.020 2.246 -0.159
H11 -1.722 1.998 -0.127
H12 -1.733 -0.729 1.390
H13 -1.459 -1.807 0.032
H14 0.824 -1.489 0.004
H15 0.849 -0.354 1.344
H16 -3.831 -1.179 0.072
H17 -3.448 0.541 0.056
H18 -3.092 -0.456 -1.361
H19 2.054 1.314 -0.078
H20 1.929 0.241 -1.462
H21 4.193 0.079 -0.406
H22 3.460 -0.391 1.134
H23 3.347 -1.469 -0.263

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22 H23
C11.10251.53211.53811.53762.58922.59643.94552.17682.18862.18832.16012.15302.15502.16193.52802.91752.83482.87872.79754.76824.28184.2352
H21.10252.14432.14432.14562.77132.77644.17773.06712.49992.49913.05322.50022.50893.05583.75523.19902.56793.15382.52484.86654.75644.3689
C31.53212.14432.54242.54333.12963.14854.56661.09791.09441.09442.77083.47563.47762.76714.13402.88363.48192.85353.45935.22704.75865.1538
C41.53812.14432.54242.52011.52833.91905.05202.81473.50312.79811.10001.09862.64752.79532.17442.19162.17864.31474.16056.00105.24875.1320
C51.53762.14562.54332.52013.91471.53022.54662.81482.80113.50342.78632.65101.09981.10114.68474.34754.20012.16872.15683.50202.81552.8130
C62.58922.77133.12961.52833.91475.15996.42743.52764.11522.80362.16072.14874.06344.25861.09531.09481.09675.44205.20777.30606.70076.5209
C72.59642.77643.14853.91901.53025.15991.52823.54702.82804.13334.25814.06282.14662.15976.03875.49025.25461.09701.09922.18232.17902.1796
C83.94554.17774.56665.05202.54666.42741.52824.76454.25095.59975.24504.98372.72272.79787.19836.84256.57132.15202.15891.09531.09641.0963
H92.17683.06711.09792.81472.81483.52763.54704.76451.77011.77022.59303.77683.77462.58784.37393.18034.14453.16404.12765.48294.70135.4084
H102.18862.49991.09443.50312.80114.11522.82804.25091.77011.75993.78514.31863.82433.11545.15903.87034.29302.23923.06004.70914.52334.9880
H112.18832.49911.09442.79813.50342.80364.13335.59971.77021.75993.12103.81764.32023.78233.81882.26613.06993.83814.26646.22525.84396.1428
H122.16013.05322.77081.10002.78632.16074.25815.24502.59303.78513.12101.75493.00662.61012.51762.51723.08064.54704.74206.24495.21055.3932
H132.15302.50023.47561.09862.65102.14874.06284.98373.77684.31863.81761.75492.30563.02652.45383.07762.53644.70034.23125.97435.23584.8268
H142.15502.50893.47762.64751.09984.06342.14662.72273.77463.82434.32023.00662.30561.75624.66614.73084.27433.06182.52223.73803.07042.5366
H152.16193.05582.76712.79531.10114.25862.15972.79782.58783.11543.78232.61013.02651.75624.91944.57474.78122.50103.06463.79862.61943.1722
H163.52803.75524.13402.17444.68471.09536.03877.19834.37395.15903.81882.51762.45384.66614.91941.76281.76786.39316.12748.13597.40977.1914
H172.91753.19902.88362.19164.34751.09485.49026.84253.18033.87032.26612.51723.07764.73084.57471.76281.76905.55795.59527.66917.05367.0933
H182.83482.56793.48192.17864.20011.09675.25466.57134.14454.29303.06993.08062.53644.27434.78121.76781.76905.59115.06987.36677.01116.6098
H192.87873.15382.85354.31472.16875.44201.09702.15203.16402.23923.83814.54704.70033.06182.50106.39315.55795.59111.75572.49172.52023.0738
H202.79752.52483.45934.16052.15685.20771.09922.15894.12763.06004.26644.74204.23122.52223.06466.12745.59525.06981.75572.50373.07922.5241
H214.76824.86655.22706.00103.50207.30602.18231.09535.48294.70916.22526.24495.97433.73803.79868.13597.66917.36672.49172.50371.76871.7692
H224.28184.75644.75865.24872.81556.70072.17901.09644.70134.52335.84395.21055.23583.07042.61947.40977.05367.01112.52023.07921.76871.7678
H234.23524.36895.15385.13202.81306.52092.17961.09635.40844.98806.14285.39324.82682.53663.17227.19147.09336.60983.07382.52411.76921.7678

picture of 3-methylhexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H9 110.639 C1 C3 H10 111.798
C1 C3 H11 111.769 C1 C4 C6 115.213
C1 C4 H12 108.802 C1 C4 H13 108.329
C1 C5 C7 115.634 C1 C5 H14 108.450
C1 C5 H15 108.907 H2 C1 C3 107.848
H2 C1 C4 107.447 H2 C1 C5 107.575
C3 C1 C4 111.811 C3 C1 C5 111.898
C4 C1 C5 110.042 C4 C6 H16 110.868
C4 C6 H17 112.278 C4 C6 H18 111.119
C5 C7 C8 112.747 C5 C7 H19 110.177
C5 C7 H20 109.122 C6 C4 H12 109.511
C6 C4 H13 108.660 C7 C5 H14 108.299
C7 C5 H15 109.237 C7 C8 H21 111.511
C7 C8 H22 111.180 C7 C8 H23 111.226
C8 C7 H19 109.008 C8 C7 H20 109.425
H9 C3 H10 107.691 H9 C3 H11 107.698
H10 C3 H11 107.034 H12 C4 H13 105.919
H14 C5 H15 105.870 H16 C6 H17 107.198
H16 C6 H18 107.508 H17 C6 H18 107.645
H19 C7 H20 106.147 H21 C8 H22 107.611
H21 C8 H23 107.661 H22 C8 H23 107.454
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.500      
2 H 0.135      
3 C -0.666      
4 C -0.195      
5 C -0.664      
6 C -0.635      
7 C -0.076      
8 C -0.716      
9 H 0.157      
10 H 0.153      
11 H 0.155      
12 H 0.151      
13 H 0.147      
14 H 0.144      
15 H 0.151      
16 H 0.161      
17 H 0.157      
18 H 0.159      
19 H 0.150      
20 H 0.153      
21 H 0.160      
22 H 0.160      
23 H 0.159      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.002 -0.015 -0.076 0.077
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.414 0.389 -0.236
y 0.389 -48.803 0.305
z -0.236 0.305 -48.319
Traceless
 xyz
x -0.854 0.389 -0.236
y 0.389 0.064 0.305
z -0.236 0.305 0.789
Polar
3z2-r21.579
x2-y2-0.612
xy0.389
xz-0.236
yz0.305


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.579 -0.020 0.063
y -0.020 11.852 -0.143
z 0.063 -0.143 11.028


<r2> (average value of r2) Å2
<r2> 362.719
(<r2>)1/2 19.045