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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-276.352112
Energy at 298.15K-276.369312
Nuclear repulsion energy322.832213
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 mPW1PW91/6-31G**
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 3158 3005 28.13      
2 A 3151 2999 58.15      
3 A 3148 2996 30.77      
4 A 3144 2992 45.45      
5 A 3143 2991 14.74      
6 A 3142 2990 55.59      
7 A 3107 2956 35.01      
8 A 3091 2941 24.45      
9 A 3074 2925 8.85      
10 A 3067 2918 26.67      
11 A 3064 2915 24.43      
12 A 3063 2915 40.14      
13 A 3058 2910 37.09      
14 A 3048 2900 36.42      
15 A 3034 2887 12.94      
16 A 3024 2877 8.10      
17 A 1530 1456 7.83      
18 A 1524 1450 8.72      
19 A 1521 1448 3.15      
20 A 1515 1442 5.35      
21 A 1514 1441 1.79      
22 A 1512 1439 8.66      
23 A 1508 1435 0.90      
24 A 1502 1429 0.07      
25 A 1490 1418 0.15      
26 A 1431 1362 9.22      
27 A 1428 1359 4.94      
28 A 1427 1358 0.44      
29 A 1414 1346 0.69      
30 A 1395 1327 0.46      
31 A 1390 1322 0.88      
32 A 1346 1280 0.19      
33 A 1336 1271 0.57      
34 A 1311 1248 0.48      
35 A 1294 1231 0.39      
36 A 1265 1204 2.64      
37 A 1208 1149 0.02      
38 A 1189 1131 2.60      
39 A 1186 1129 3.72      
40 A 1109 1055 1.79      
41 A 1079 1026 1.71      
42 A 1066 1014 0.13      
43 A 1047 996 0.65      
44 A 1009 960 4.90      
45 A 977 929 3.47      
46 A 953 907 2.39      
47 A 900 856 1.32      
48 A 873 831 0.79      
49 A 833 792 0.23      
50 A 780 742 4.45      
51 A 744 708 2.23      
52 A 505 480 0.32      
53 A 436 415 0.21      
54 A 378 359 0.16      
55 A 323 307 0.04      
56 A 297 283 0.00      
57 A 262 250 0.01      
58 A 244 232 0.01      
59 A 215 204 0.04      
60 A 151 143 0.01      
61 A 106 101 0.01      
62 A 75 71 0.00      
63 A 61 58 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 48087.2 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 45755.0 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 mPW1PW91/6-31G**
ABC
0.19403 0.03652 0.03290

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.569 0.136 -0.213
H2 -0.588 0.112 -1.313
C3 -0.764 1.586 0.229
C4 -1.703 -0.769 0.288
C5 0.786 -0.423 0.241
C6 -3.086 -0.435 -0.261
C7 2.012 0.263 -0.357
C8 3.318 -0.415 0.043
H9 -0.750 1.662 1.322
H10 0.023 2.237 -0.159
H11 -1.716 1.991 -0.120
H12 -1.725 -0.735 1.385
H13 -1.461 -1.806 0.024
H14 0.826 -1.490 -0.016
H15 0.842 -0.376 1.337
H16 -3.827 -1.165 0.075
H17 -3.432 0.550 0.063
H18 -3.088 -0.442 -1.356
H19 2.045 1.313 -0.049
H20 1.923 0.270 -1.451
H21 4.183 0.089 -0.395
H22 3.448 -0.412 1.130
H23 3.339 -1.458 -0.286

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
C11.10071.52871.53471.53412.58122.58853.93422.17222.18402.18362.15592.14932.15122.15813.51962.90622.82582.87182.78634.75614.27044.2215
H21.10072.14042.14102.14152.76572.77384.16763.06152.49392.49583.04832.49562.49953.05083.74853.19072.56173.15762.51954.85824.74594.3519
C31.52872.14042.53642.53713.11733.13044.54941.09591.09251.09262.76603.46873.47112.76724.12032.86773.46822.83533.43155.20594.74735.1348
C41.53472.14102.53642.51351.52483.90975.03952.80913.49542.79041.09811.09682.64762.78172.17072.18632.17374.30104.15385.98785.23155.1215
C51.53412.14152.53712.51353.90431.52702.53982.80602.79583.49562.77712.64681.09801.09924.67504.33254.19002.16422.15303.49412.80642.8052
C62.58122.76573.11731.52483.90435.14676.41123.51614.10082.78952.15692.14544.05954.24171.09321.09301.09465.42475.19687.28946.68016.5063
C72.58852.77383.13043.90971.52705.14671.52473.52202.80934.11654.24264.06022.14362.15606.02675.46845.24471.09531.09732.17832.17422.1745
C83.93424.16764.54945.03952.53986.41121.52474.74274.23425.58215.22834.97682.71422.79367.18416.81896.55702.14862.15541.09321.09441.0943
H92.17223.06151.09592.80912.80603.51613.52204.74271.76701.76712.58933.77053.76922.58614.36123.16534.13133.13204.09555.45474.68545.3889
H102.18402.49391.09253.49542.79584.10082.80934.23421.76701.75743.77864.31043.81503.12065.14333.85204.27672.22533.02484.68764.51714.9666
H112.18362.49581.09262.79043.49562.78954.11655.58211.76711.75743.11453.80834.31203.77823.80202.24863.05463.82254.24076.20475.83126.1226
H122.15593.04832.76601.09812.77712.15694.24265.22832.58933.77863.11451.75153.00672.59312.51372.51263.07494.52414.72916.22555.18925.3817
H132.14932.49563.46871.09682.64682.14544.06024.97683.77054.31043.80831.75152.30893.01232.45193.07212.53204.69294.23485.96825.22094.8223
H142.15122.49953.47112.64761.09804.05952.14362.71423.76923.81504.31203.00672.30891.75274.66534.72254.26793.05682.52173.72913.05712.5276
H152.15813.05082.76722.78171.09924.24172.15602.79362.58613.12063.77822.59313.01231.75274.90114.55574.76522.49433.05943.79182.61363.1688
H163.51963.74854.12032.17074.67501.09326.02677.18414.36125.14333.80202.51372.45194.66534.90111.75991.76486.37476.11988.12137.38917.1811
H172.90623.19072.86772.18634.33251.09305.46846.81893.16533.85202.24862.51263.07214.72254.55571.75991.76545.53145.57287.64337.02827.0717
H182.82582.56173.46822.17374.19001.09465.24476.55704.13134.27673.05463.07492.53204.26794.76521.76481.76545.58015.06277.35376.99246.5944
H192.87183.15762.83534.30102.16425.42471.09532.14863.13202.22533.82254.52414.69293.05682.49436.37475.53145.58011.75212.48822.51663.0683
H202.78632.51953.43154.15382.15305.19681.09732.15544.09553.02484.24074.72914.23482.52173.05946.11985.57285.06271.75212.50093.07372.5193
H214.75614.85825.20595.98783.49417.28942.17831.09325.45474.68766.20476.22555.96823.72913.79188.12137.64337.35372.48822.50091.76561.7662
H224.27044.74594.74735.23152.80646.68012.17421.09444.68544.51715.83125.18925.22093.05712.61367.38917.02826.99242.51663.07371.76561.7642
H234.22154.35195.13485.12152.80526.50632.17451.09435.38894.96666.12265.38174.82232.52763.16887.18117.07176.59443.06832.51931.76621.7642

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 110.637 C1 C3 H10 111.781
C1 C3 H11 111.750 C1 C4 C6 115.059
C1 C4 H12 108.816 C1 C4 H13 108.377
C1 C5 C7 115.473 C1 C5 H14 108.495
C1 C5 H15 108.960 H2 C1 C3 107.877
H2 C1 C4 107.524 H2 C1 C5 107.602
C3 C1 C4 111.786 C3 C1 C5 111.861
C4 C1 C5 109.982 C4 C6 H16 110.944
C4 C6 H17 112.214 C4 C6 H18 111.101
C5 C7 C8 112.658 C5 C7 H19 110.149
C5 C7 H20 109.149 C6 C4 H12 109.561
C6 C4 H13 108.746 C7 C5 H14 108.381
C7 C5 H15 109.273 C7 C8 H21 111.563
C7 C8 H22 111.161 C7 C8 H23 111.191
C8 C7 H19 109.082 C8 C7 H20 109.500
H9 C3 H10 107.686 H9 C3 H11 107.702
H10 C3 H11 107.075 H12 C4 H13 105.882
H14 C5 H15 105.823 H16 C6 H17 107.217
H16 C6 H18 107.533 H17 C6 H18 107.611
H19 C7 H20 106.091 H21 C8 H22 107.626
H21 C8 H23 107.682 H22 C8 H23 107.422
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.110      
2 H 0.114      
3 C -0.387      
4 C -0.232      
5 C -0.219      
6 C -0.400      
7 C -0.247      
8 C -0.397      
9 H 0.124      
10 H 0.129      
11 H 0.128      
12 H 0.119      
13 H 0.121      
14 H 0.116      
15 H 0.116      
16 H 0.129      
17 H 0.131      
18 H 0.129      
19 H 0.126      
20 H 0.123      
21 H 0.128      
22 H 0.130      
23 H 0.129      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.002 -0.011 -0.041 0.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.241 0.277 -0.162
y 0.277 -47.754 0.191
z -0.162 0.191 -47.385
Traceless
 xyz
x -0.672 0.277 -0.162
y 0.277 0.059 0.191
z -0.162 0.191 0.613
Polar
3z2-r21.226
x2-y2-0.487
xy0.277
xz-0.162
yz0.191


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.296 0.052 0.003
y 0.052 10.679 -0.014
z 0.003 -0.014 10.043


<r2> (average value of r2) Å2
<r2> 360.203
(<r2>)1/2 18.979