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

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-276.381900
Energy at 298.15K-276.399102
Nuclear repulsion energy323.193911
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 mPW1PW91/6-311G*
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 3136 2993 35.27      
2 A 3128 2985 82.38      
3 A 3124 2981 36.82      
4 A 3120 2978 13.76      
5 A 3120 2978 100.99      
6 A 3119 2977 39.75      
7 A 3086 2945 35.70      
8 A 3071 2931 26.08      
9 A 3054 2915 9.25      
10 A 3052 2913 26.98      
11 A 3049 2910 38.42      
12 A 3048 2909 40.60      
13 A 3043 2904 47.44      
14 A 3035 2896 36.56      
15 A 3021 2883 10.57      
16 A 3009 2872 7.78      
17 A 1538 1468 8.27      
18 A 1528 1458 20.66      
19 A 1526 1456 0.40      
20 A 1520 1451 7.19      
21 A 1518 1449 7.47      
22 A 1517 1448 7.82      
23 A 1511 1442 0.86      
24 A 1504 1435 0.08      
25 A 1491 1423 0.26      
26 A 1432 1367 11.85      
27 A 1429 1364 5.67      
28 A 1427 1362 2.53      
29 A 1413 1349 0.83      
30 A 1396 1332 0.19      
31 A 1394 1330 1.21      
32 A 1349 1287 0.26      
33 A 1344 1282 0.59      
34 A 1317 1257 0.48      
35 A 1301 1241 0.26      
36 A 1269 1211 1.25      
37 A 1208 1153 0.02      
38 A 1189 1135 2.10      
39 A 1187 1133 2.99      
40 A 1109 1058 1.99      
41 A 1079 1030 1.32      
42 A 1065 1017 0.12      
43 A 1049 1001 0.59      
44 A 1011 965 4.92      
45 A 979 934 3.50      
46 A 953 910 2.34      
47 A 899 858 1.28      
48 A 874 834 0.73      
49 A 832 794 0.20      
50 A 779 744 4.17      
51 A 743 709 2.08      
52 A 506 483 0.25      
53 A 435 415 0.20      
54 A 378 361 0.15      
55 A 323 309 0.04      
56 A 300 286 0.00      
57 A 261 249 0.00      
58 A 242 231 0.00      
59 A 212 202 0.04      
60 A 150 143 0.01      
61 A 105 100 0.01      
62 A 74 71 0.00      
63 A 59 57 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 47967.8 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 45780.4 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 mPW1PW91/6-311G*
ABC
0.19462 0.03663 0.03296

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.568 0.135 -0.216
H2 -0.586 0.110 -1.315
C3 -0.764 1.583 0.226
C4 -1.700 -0.770 0.283
C5 0.785 -0.423 0.238
C6 -3.083 -0.433 -0.257
C7 2.011 0.275 -0.341
C8 3.313 -0.421 0.035
H9 -0.748 1.661 1.318
H10 0.019 2.236 -0.163
H11 -1.716 1.988 -0.120
H12 -1.718 -0.745 1.380
H13 -1.459 -1.805 0.014
H14 0.830 -1.486 -0.033
H15 0.834 -0.394 1.335
H16 -3.820 -1.171 0.066
H17 -3.436 0.543 0.083
H18 -3.089 -0.423 -1.351
H19 2.050 1.314 -0.001
H20 1.921 0.317 -1.433
H21 4.180 0.095 -0.383
H22 3.444 -0.458 1.120
H23 3.334 -1.451 -0.331

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
C11.10001.52631.53261.53192.57852.58613.92842.17122.18272.18262.15462.14702.14802.15633.51612.91222.82062.87952.77684.75164.27014.2131
H21.10002.13922.13802.13842.76592.77844.15943.06072.49322.49733.04582.48902.48853.04813.74343.20442.55973.18192.51784.85624.74254.3314
C31.52632.13922.53302.53413.11043.11974.54631.09531.09161.09162.76783.46483.46722.77334.11742.87103.45182.83583.40025.19894.76165.1285
C41.53262.13802.53302.50891.52303.90545.03082.80863.49202.78831.09731.09602.64792.76902.16922.18622.17334.29974.15185.98075.22095.1162
C51.53192.13842.53412.50893.89911.52522.53632.80372.79643.49272.76942.64451.09721.09844.66864.33264.18702.16262.15183.49082.80232.8067
C62.57852.76593.11041.52303.89915.14376.40243.50984.09362.78392.15492.14324.05834.22851.09251.09211.09405.42835.19457.28366.67106.4972
C72.58612.77843.11973.90541.52525.14371.52283.50542.80144.10854.23154.06122.14202.15416.02205.47035.24591.09441.09662.17702.17362.1739
C83.92844.15944.54635.03082.53636.40241.52284.74044.23635.57855.21724.96862.70232.79897.17276.81756.55022.14602.15301.09251.09361.0936
H92.17123.06071.09532.80862.80373.50983.50544.74041.76451.76462.59483.77103.77052.59384.36223.16254.11673.11304.06195.44404.70185.3913
H102.18272.49321.09163.49202.79644.09362.80144.23631.76451.75373.77984.30693.81143.13485.13883.85594.25952.23632.98564.68494.54284.9606
H112.18262.49731.09162.78833.49272.78394.10855.57851.76461.75373.11833.80474.30823.78143.80082.25593.03523.82814.21276.19885.84436.1135
H122.15463.04582.76781.09732.76942.15494.23155.21722.59483.77983.11831.74863.00592.57612.51622.50883.07354.51044.72026.21305.17645.3799
H132.14702.48903.46481.09602.64452.14324.06124.96863.77104.30693.80471.74862.31172.99892.44563.07022.53624.69514.24505.96415.20384.8181
H142.14802.48853.46722.64791.09724.05832.14202.70233.77053.81144.30823.00592.31171.74964.66224.72524.26943.05422.52973.72103.03622.5216
H152.15633.04812.77332.76901.09844.22852.15412.79892.59383.13483.78142.57612.99891.74964.88664.54744.75472.48623.05723.79312.61973.1845
H163.51613.74344.11742.16924.66861.09256.02207.17274.36225.13883.80082.51622.44564.66224.88661.75661.76196.37546.11768.11297.37537.1706
H172.91223.20442.87102.18624.33261.09215.47036.81753.16253.85592.25592.50883.07024.72524.54741.75661.76345.54085.57207.64387.02977.0693
H182.82062.55973.45182.17334.18701.09405.24596.55024.11674.25953.03523.07352.53624.26944.75471.76191.76345.59025.06507.35196.98526.5839
H192.87953.18192.83584.29972.16265.42831.09442.14603.11302.23633.82814.51044.69513.05422.48626.37545.54085.59021.74982.48402.51833.0662
H202.77682.51783.40024.15182.15185.19451.09662.15304.06192.98564.21274.72024.24502.52973.05726.11765.57205.06501.74982.50123.07222.5164
H214.75164.85625.19895.98073.49087.28362.17701.09255.44404.68496.19886.21305.96413.72103.79318.11297.64387.35192.48402.50121.76281.7633
H224.27014.74254.76165.22092.80236.67102.17361.09364.70184.54285.84435.17645.20383.03622.61977.37537.02976.98522.51833.07221.76281.7621
H234.21314.33145.12855.11622.80676.49722.17391.09365.39134.96066.11355.37994.81812.52163.18457.17067.06936.58393.06622.51641.76331.7621

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 110.761 C1 C3 H10 111.903
C1 C3 H11 111.892 C1 C4 C6 115.099
C1 C4 H12 108.894 C1 C4 H13 108.383
C1 C5 C7 115.542 C1 C5 H14 108.438
C1 C5 H15 109.010 H2 C1 C3 107.986
H2 C1 C4 107.468 H2 C1 C5 107.548
C3 C1 C4 111.803 C3 C1 C5 111.915
C4 C1 C5 109.908 C4 C6 H16 110.997
C4 C6 H17 112.391 C4 C6 H18 111.238
C5 C7 C8 112.636 C5 C7 H19 110.209
C5 C7 H20 109.224 C6 C4 H12 109.573
C6 C4 H13 108.743 C7 C5 H14 108.431
C7 C5 H15 109.298 C7 C8 H21 111.642
C7 C8 H22 111.299 C7 C8 H23 111.324
C8 C7 H19 109.071 C8 C7 H20 109.487
H9 C3 H10 107.583 H9 C3 H11 107.584
H10 C3 H11 106.881 H12 C4 H13 105.731
H14 C5 H15 105.664 H16 C6 H17 107.048
H16 C6 H18 107.377 H17 C6 H18 107.541
H19 C7 H20 105.996 H21 C8 H22 107.484
H21 C8 H23 107.530 H22 C8 H23 107.342
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.250      
2 H 0.208      
3 C -0.654      
4 C -0.423      
5 C -0.418      
6 C -0.661      
7 C -0.442      
8 C -0.652      
9 H 0.214      
10 H 0.231      
11 H 0.230      
12 H 0.212      
13 H 0.218      
14 H 0.216      
15 H 0.211      
16 H 0.224      
17 H 0.224      
18 H 0.218      
19 H 0.222      
20 H 0.214      
21 H 0.221      
22 H 0.218      
23 H 0.218      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.003 -0.015 -0.067 0.068
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.419 0.419 -0.248
y 0.419 -48.674 0.289
z -0.248 0.289 -48.171
Traceless
 xyz
x -0.996 0.419 -0.248
y 0.419 0.121 0.289
z -0.248 0.289 0.876
Polar
3z2-r21.751
x2-y2-0.745
xy0.419
xz-0.248
yz0.289


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.989 0.007 0.037
y 0.007 11.303 -0.085
z 0.037 -0.085 10.582


<r2> (average value of r2) Å2
<r2> 360.077
(<r2>)1/2 18.976