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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-276.402233
Energy at 298.15K-276.419437
Nuclear repulsion energy323.106328
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 3134 2998 30.50      
2 A 3127 2991 67.65      
3 A 3123 2988 33.60      
4 A 3119 2984 49.46      
5 A 3119 2984 22.07      
6 A 3118 2983 59.69      
7 A 3084 2950 33.21      
8 A 3069 2936 23.55      
9 A 3053 2921 9.10      
10 A 3049 2917 28.51      
11 A 3046 2914 39.17      
12 A 3045 2913 31.25      
13 A 3040 2908 39.20      
14 A 3031 2900 35.50      
15 A 3017 2886 11.60      
16 A 3005 2875 6.97      
17 A 1517 1451 8.90      
18 A 1511 1446 13.09      
19 A 1508 1443 3.58      
20 A 1501 1436 6.37      
21 A 1500 1436 2.94      
22 A 1499 1434 10.46      
23 A 1495 1430 0.95      
24 A 1490 1425 0.12      
25 A 1477 1413 0.28      
26 A 1417 1356 10.18      
27 A 1414 1353 6.87      
28 A 1413 1352 1.26      
29 A 1402 1342 0.94      
30 A 1384 1324 0.32      
31 A 1382 1322 0.89      
32 A 1338 1280 0.26      
33 A 1330 1273 0.62      
34 A 1305 1249 0.45      
35 A 1288 1232 0.21      
36 A 1259 1204 1.43      
37 A 1200 1149 0.02      
38 A 1184 1132 1.36      
39 A 1181 1129 3.77      
40 A 1104 1056 1.85      
41 A 1074 1028 1.40      
42 A 1061 1015 0.13      
43 A 1043 998 0.63      
44 A 1005 961 5.08      
45 A 973 930 3.28      
46 A 949 908 2.41      
47 A 895 857 1.28      
48 A 869 832 0.68      
49 A 830 794 0.18      
50 A 777 744 4.00      
51 A 742 710 2.10      
52 A 503 481 0.25      
53 A 435 416 0.19      
54 A 376 360 0.15      
55 A 321 307 0.03      
56 A 294 282 0.00      
57 A 259 248 0.00      
58 A 241 231 0.00      
59 A 212 203 0.04      
60 A 150 144 0.01      
61 A 105 100 0.01      
62 A 76 72 0.00      
63 A 60 57 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 47763.5 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 45695.3 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 mPW1PW91/6-311G**
ABC
0.19409 0.03658 0.03297

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 -0.569 0.137 -0.210
H2 -0.587 0.111 -1.310
C3 -0.765 1.586 0.229
C4 -1.701 -0.767 0.290
C5 0.785 -0.419 0.244
C6 -3.082 -0.437 -0.264
C7 2.010 0.256 -0.366
C8 3.315 -0.413 0.046
H9 -0.753 1.662 1.321
H10 0.022 2.236 -0.158
H11 -1.716 1.991 -0.122
H12 -1.726 -0.728 1.386
H13 -1.455 -1.803 0.031
H14 0.822 -1.488 0.001
H15 0.845 -0.357 1.339
H16 -3.822 -1.167 0.073
H17 -3.431 0.547 0.055
H18 -3.080 -0.451 -1.358
H19 2.042 1.311 -0.077
H20 1.919 0.242 -1.458
H21 4.179 0.082 -0.404
H22 3.447 -0.386 1.131
H23 3.336 -1.462 -0.262

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
C11.09971.52741.53301.53242.57862.58593.93112.16972.18212.18192.15322.14622.14862.15533.51632.90322.82292.86552.78574.75214.26604.2195
H21.09972.13912.13842.13942.76082.76634.16363.05882.49322.49373.04472.49292.50123.04743.74353.18442.55663.14112.51394.85094.74054.3538
C31.52742.13912.53362.53423.11593.13384.54721.09521.09161.09172.76043.46453.46672.75744.11742.86643.46822.83633.44395.20624.73755.1330
C41.53302.13842.53362.51131.52373.90515.03522.80413.49182.78821.09721.09572.64012.78452.16902.18472.17164.29694.14565.98195.23045.1149
C51.53242.13942.53422.51133.90051.52562.53802.80282.79163.49202.77562.64221.09691.09844.67084.32914.18432.16202.15003.49152.80572.8020
C62.57862.76083.11591.52373.90055.13986.40503.51354.09862.78942.15582.14424.05154.24261.09241.09211.09395.41705.18697.28116.67666.4992
C72.58592.76633.13383.90511.52565.13981.52363.52952.81334.11684.24184.05022.14152.15436.01905.46435.23361.09421.09632.17672.17232.1728
C83.93114.16364.54725.03522.53806.40501.52364.74184.23125.57845.22594.96922.71562.78917.17736.81396.54782.14692.15371.09241.09361.0936
H92.16973.05881.09522.80412.80283.51353.52954.74181.76621.76632.58133.76343.76092.57554.35663.16474.13003.14484.10965.45914.67695.3839
H102.18212.49321.09163.49182.79164.09862.81334.23121.76621.75603.77214.30523.81223.10605.13973.84974.27632.22263.04484.68844.50204.9667
H112.18192.49371.09172.78823.49202.78944.11685.57841.76631.75603.10933.80544.30743.76953.80052.24803.05733.81884.24986.20275.82046.1205
H122.15323.04472.76041.09722.77562.15584.24185.22592.58133.77213.10931.75062.99782.59782.51252.51143.07264.52704.72456.22335.19025.3736
H132.14622.49293.46451.09572.64222.14424.05024.96923.76344.30523.80541.75062.29923.01552.45103.07012.52914.68374.21765.95735.22004.8123
H142.14862.50123.46672.64011.09694.05152.14152.71563.76093.81224.30742.99782.29921.75204.65574.71464.25993.05392.51483.72803.06272.5278
H152.15533.04742.75742.78451.09844.24262.15432.78912.57553.10603.76952.59783.01551.75204.90334.55534.76352.49463.05643.78812.61033.1605
H163.51633.74354.11742.16904.67081.09246.01907.17734.35665.13973.80052.51252.45104.65574.90331.75861.76356.36766.10708.11217.38707.1719
H172.90323.18442.86642.18474.32911.09215.46436.81393.16473.84972.24802.51143.07014.71464.55531.75861.76465.52675.56837.63767.02357.0655
H182.82292.55663.46822.17164.18431.09395.23366.54784.13004.27633.05733.07262.52914.25994.76351.76351.76465.56565.04847.34096.98576.5869
H192.86553.14112.83634.29692.16205.41701.09422.14693.14482.22263.81884.52704.68373.05392.49466.36765.52675.56561.75112.48732.51333.0657
H202.78572.51393.44394.14562.15005.18691.09632.15374.10963.04484.24984.72454.21762.51483.05646.10705.56835.04841.75112.49843.07122.5177
H214.75214.85095.20625.98193.49157.28112.17671.09245.45914.68846.20276.22335.95733.72803.78818.11217.63767.34092.48732.49841.76431.7649
H224.26604.74054.73755.23042.80576.67662.17231.09364.67694.50205.82045.19025.22003.06272.61037.38707.02356.98572.51333.07121.76431.7634
H234.21954.35385.13305.11492.80206.49922.17281.09365.38394.96676.12055.37364.81232.52783.16057.17197.06556.58693.06572.51771.76491.7634

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 110.558 C1 C3 H10 111.770
C1 C3 H11 111.755 C1 C4 C6 115.042
C1 C4 H12 108.766 C1 C4 H13 108.311
C1 C5 C7 115.477 C1 C5 H14 108.471
C1 C5 H15 108.903 H2 C1 C3 107.920
H2 C1 C4 107.493 H2 C1 C5 107.607
C3 C1 C4 111.763 C3 C1 C5 111.833
C4 C1 C5 110.016 C4 C6 H16 110.933
C4 C6 H17 112.217 C4 C6 H18 111.055
C5 C7 C8 112.682 C5 C7 H19 110.137
C5 C7 H20 109.073 C6 C4 H12 109.604
C6 C4 H13 108.785 C7 C5 H14 108.377
C7 C5 H15 109.293 C7 C8 H21 111.559
C7 C8 H22 111.139 C7 C8 H23 111.175
C8 C7 H19 109.089 C8 C7 H20 109.502
H9 C3 H10 107.731 H9 C3 H11 107.736
H10 C3 H11 107.087 H12 C4 H13 105.939
H14 C5 H15 105.891 H16 C6 H17 107.227
H16 C6 H18 107.537 H17 C6 H18 107.655
H19 C7 H20 106.146 H21 C8 H22 107.631
H21 C8 H23 107.681 H22 C8 H23 107.462
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 -0.245      
2 H 0.126      
3 C -0.296      
4 C -0.247      
5 C -0.221      
6 C -0.323      
7 C -0.261      
8 C -0.327      
9 H 0.115      
10 H 0.122      
11 H 0.122      
12 H 0.120      
13 H 0.122      
14 H 0.119      
15 H 0.118      
16 H 0.122      
17 H 0.119      
18 H 0.116      
19 H 0.126      
20 H 0.120      
21 H 0.120      
22 H 0.117      
23 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.001 -0.013 -0.065 0.066
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.121 0.366 -0.229
y 0.366 -48.509 0.258
z -0.229 0.258 -48.118
Traceless
 xyz
x -0.807 0.366 -0.229
y 0.366 0.110 0.258
z -0.229 0.258 0.697
Polar
3z2-r21.394
x2-y2-0.611
xy0.366
xz-0.229
yz0.258


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.311 0.007 0.042
y 0.007 11.485 -0.083
z 0.042 -0.083 10.733


<r2> (average value of r2) Å2
<r2> 360.116
(<r2>)1/2 18.977