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

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at LSDA/6-31G**
 hartrees
Energy at 0K-274.874961
Energy at 298.15K-274.891976
Nuclear repulsion energy325.045197
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 LSDA/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 3076 3018 9.51      
2 A 3075 3017 30.33      
3 A 3074 3017 26.60      
4 A 3062 3005 26.34      
5 A 3060 3003 23.98      
6 A 3056 2999 23.92      
7 A 3012 2956 29.85      
8 A 2999 2943 18.67      
9 A 2982 2927 22.60      
10 A 2980 2924 32.13      
11 A 2977 2921 15.35      
12 A 2972 2917 13.41      
13 A 2964 2908 28.79      
14 A 2953 2897 28.54      
15 A 2933 2878 18.48      
16 A 2920 2866 7.69      
17 A 1454 1427 10.49      
18 A 1452 1425 7.86      
19 A 1448 1421 9.18      
20 A 1440 1413 6.04      
21 A 1439 1412 3.42      
22 A 1436 1409 13.95      
23 A 1432 1406 2.04      
24 A 1423 1397 0.46      
25 A 1411 1384 0.18      
26 A 1361 1335 4.88      
27 A 1360 1334 13.47      
28 A 1355 1330 4.63      
29 A 1352 1327 3.38      
30 A 1332 1307 0.78      
31 A 1321 1296 2.36      
32 A 1276 1252 0.74      
33 A 1270 1246 0.79      
34 A 1249 1225 0.40      
35 A 1226 1203 0.77      
36 A 1203 1181 1.65      
37 A 1164 1142 0.19      
38 A 1158 1137 0.14      
39 A 1146 1125 4.51      
40 A 1100 1079 1.33      
41 A 1068 1048 0.89      
42 A 1053 1033 2.17      
43 A 1018 999 3.87      
44 A 971 953 6.92      
45 A 936 919 6.72      
46 A 926 908 1.65      
47 A 885 868 1.95      
48 A 840 824 0.80      
49 A 817 801 0.89      
50 A 753 739 7.13      
51 A 721 708 2.64      
52 A 490 481 1.01      
53 A 424 416 0.26      
54 A 374 367 0.21      
55 A 325 319 0.06      
56 A 295 290 0.02      
57 A 262 257 0.01      
58 A 240 236 0.03      
59 A 222 218 0.09      
60 A 143 140 0.01      
61 A 106 104 0.01      
62 A 72 71 0.00      
63 A 63 62 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 46452.0 cm-1
Scaled (by 0.9813) Zero Point Vibrational Energy (zpe) 45583.3 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 LSDA/6-31G**
ABC
0.20032 0.03725 0.03360

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.564 0.114 -0.230
H2 -0.593 0.106 -1.342
C3 -0.742 1.544 0.235
C4 -1.690 -0.776 0.267
C5 0.777 -0.449 0.203
C6 -3.061 -0.387 -0.233
C7 1.987 0.276 -0.341
C8 3.285 -0.390 0.054
H9 -0.708 1.593 1.340
H10 0.051 2.206 -0.152
H11 -1.708 1.965 -0.089
H12 -1.675 -0.768 1.376
H13 -1.468 -1.820 -0.027
H14 0.832 -1.515 -0.098
H15 0.819 -0.451 1.314
H16 -3.836 -1.093 0.107
H17 -3.358 0.616 0.118
H18 -3.089 -0.369 -1.337
H19 1.986 1.325 0.012
H20 1.909 0.331 -1.445
H21 4.165 0.141 -0.343
H22 3.389 -0.433 1.153
H23 3.326 -1.430 -0.316

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
C11.11281.51391.51891.51732.54732.55853.89162.16142.18132.18022.14332.14472.14982.14793.50392.86012.79952.83232.76374.72984.22334.1856
H21.11282.13932.13792.13872.75032.77314.15133.06882.49782.50363.05392.49092.49193.05913.74863.16782.54073.15712.51454.86164.73014.3325
C31.51392.13932.50622.50603.05423.06394.47051.10671.10271.10262.74223.45153.45672.75344.06762.77833.41202.74523.36475.13574.67085.0686
C41.51892.13792.50622.48921.51073.87254.99402.77953.47782.76321.10951.10752.65342.73742.17512.17752.16734.24094.13625.95725.16705.0916
C51.51732.13872.50602.48923.86341.51192.51282.76902.77503.47672.73712.64051.10951.11124.65844.27074.16232.15492.14613.48182.77942.7798
C62.54732.75033.05421.51073.86345.09296.35243.45454.05152.71672.15812.15284.05574.17751.10201.10341.10455.33475.16607.24606.59786.4721
C72.55852.77313.06393.87251.51195.09291.51083.43862.74044.07104.17754.05322.14522.15195.99845.37565.21321.10661.10812.18152.16742.1680
C83.89164.15134.47054.99402.51286.35241.51084.63974.15175.52225.14704.96372.70282.76957.15516.71866.52382.15172.15821.10201.10421.1042
H92.16143.06881.10672.77952.76903.45453.43864.63971.78261.78322.55153.75443.75522.55184.30353.07744.08503.01514.02465.35574.57465.3055
H102.18132.49781.10273.47782.77504.05152.74044.15171.78261.77703.76274.30453.80263.13025.10463.77104.23022.13202.93934.60664.45074.8955
H112.18022.50361.10262.76323.47672.71674.07105.52221.78321.77703.10053.79264.30863.76693.73012.14052.98513.75024.19476.15485.76846.0757
H122.14333.05392.74221.10952.73712.15814.17755.14702.55153.76273.10051.76653.00322.51482.52702.51613.08594.43204.69196.15535.08045.3209
H132.14472.49093.45151.10752.64052.15284.05324.96373.75444.30453.79261.76652.32112.98332.48033.08662.53954.67084.24735.97255.18724.8182
H142.14982.49193.45672.65341.10954.05572.14522.70283.75523.80264.30863.00322.32111.76774.69114.70594.26903.06752.52633.72973.04542.5048
H152.14793.05912.75342.73741.11124.17752.15192.76952.55183.13023.76692.51482.98331.76774.85104.47374.72282.49223.06743.78032.57553.1459
H163.50393.74864.06762.17514.65841.10205.99847.15514.30355.10463.73012.52702.48034.69114.85101.77501.77976.30416.11878.10747.32997.1817
H172.86013.16782.77832.17754.27071.10345.37566.71863.07743.77102.14052.51613.08664.70594.47371.77501.77775.39125.50147.55166.90617.0032
H182.79952.54073.41202.16734.16231.10455.21326.52384.08504.23022.98513.08592.53954.26904.72281.77971.77775.51725.04817.33926.94056.5816
H192.83233.15712.74524.24092.15495.33471.10662.15173.01512.13203.75024.43204.67083.06752.49226.30415.39125.51721.76492.50512.52233.0805
H202.76372.51453.36474.13622.14615.16601.10812.15824.02462.93934.19474.69194.24732.52633.06746.11875.50145.04811.76492.51713.08542.5258
H214.72984.86165.13575.95723.48187.24602.18151.10205.35574.60666.15486.15535.97253.72973.78038.10747.55167.33922.50512.51711.78001.7809
H224.22334.73014.67085.16702.77946.59782.16741.10424.57464.45075.76845.08045.18723.04542.57557.32996.90616.94052.52233.08541.78001.7756
H234.18564.33255.06865.09162.77986.47212.16801.10425.30554.89556.07575.32094.81822.50483.14597.18177.00326.58163.08052.52581.78091.7756

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 110.160 C1 C3 H10 111.987
C1 C3 H11 111.907 C1 C4 C6 114.452
C1 C4 H12 108.252 C1 C4 H13 108.476
C1 C5 C7 115.258 C1 C5 H14 108.858
C1 C5 H15 108.617 H2 C1 C3 108.089
H2 C1 C4 107.651 H2 C1 C5 107.816
C3 C1 C4 111.453 C3 C1 C5 111.528
C4 C1 C5 110.134 C4 C6 H16 111.762
C4 C6 H17 111.873 C4 C6 H18 110.984
C5 C7 C8 112.470 C5 C7 H19 109.791
C5 C7 H20 109.014 C6 C4 H12 109.963
C6 C4 H13 109.661 C7 C5 H14 108.867
C7 C5 H15 109.291 C7 C8 H21 112.276
C7 C8 H22 111.008 C7 C8 H23 111.058
C8 C7 H19 109.625 C8 C7 H20 110.045
H9 C3 H10 107.575 H9 C3 H11 107.633
H10 C3 H11 107.371 H12 C4 H13 105.654
H14 C5 H15 105.505 H16 C6 H17 107.197
H16 C6 H18 107.527 H17 C6 H18 107.253
H19 C7 H20 105.669 H21 C8 H22 107.577
H21 C8 H23 107.647 H22 C8 H23 107.040
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.073      
2 H 0.108      
3 C -0.415      
4 C -0.231      
5 C -0.216      
6 C -0.430      
7 C -0.246      
8 C -0.427      
9 H 0.130      
10 H 0.133      
11 H 0.131      
12 H 0.119      
13 H 0.120      
14 H 0.113      
15 H 0.113      
16 H 0.136      
17 H 0.137      
18 H 0.136      
19 H 0.127      
20 H 0.125      
21 H 0.135      
22 H 0.137      
23 H 0.137      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.007 -0.009 -0.041 0.042
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.275 0.274 -0.130
y 0.274 -48.118 0.178
z -0.130 0.178 -47.790
Traceless
 xyz
x -0.321 0.274 -0.130
y 0.274 -0.086 0.178
z -0.130 0.178 0.407
Polar
3z2-r20.813
x2-y2-0.157
xy0.274
xz-0.130
yz0.178


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.890 0.059 0.001
y 0.059 11.047 -0.019
z 0.001 -0.019 10.382


<r2> (average value of r2) Å2
<r2> 353.786
(<r2>)1/2 18.809