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

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-274.494971
Energy at 298.15K-274.512123
Nuclear repulsion energy319.921793
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 PBEPBE/3-21G
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 3061 3033 25.01      
2 A 3055 3027 72.10      
3 A 3051 3023 17.12      
4 A 3050 3022 58.33      
5 A 3049 3021 41.36      
6 A 3047 3019 10.33      
7 A 3018 2991 17.41      
8 A 3001 2973 17.84      
9 A 2986 2959 8.80      
10 A 2979 2952 23.70      
11 A 2976 2949 16.24      
12 A 2975 2948 40.88      
13 A 2973 2946 14.40      
14 A 2961 2934 30.30      
15 A 2948 2921 8.02      
16 A 2944 2917 3.81      
17 A 1533 1519 11.42      
18 A 1525 1511 17.55      
19 A 1523 1510 0.69      
20 A 1520 1507 7.45      
21 A 1517 1503 10.68      
22 A 1514 1500 2.30      
23 A 1505 1491 0.93      
24 A 1498 1484 0.57      
25 A 1484 1471 0.24      
26 A 1413 1400 13.33      
27 A 1410 1397 2.60      
28 A 1402 1390 10.81      
29 A 1371 1359 0.74      
30 A 1351 1339 2.51      
31 A 1346 1333 0.46      
32 A 1325 1313 0.47      
33 A 1323 1311 0.26      
34 A 1298 1287 0.36      
35 A 1281 1269 0.73      
36 A 1255 1244 1.10      
37 A 1187 1177 0.20      
38 A 1164 1153 6.72      
39 A 1150 1140 0.48      
40 A 1077 1068 9.01      
41 A 1048 1038 1.51      
42 A 1033 1024 3.95      
43 A 1010 1001 0.83      
44 A 985 976 1.32      
45 A 977 968 8.01      
46 A 927 919 4.41      
47 A 872 864 1.39      
48 A 868 861 1.54      
49 A 816 809 1.08      
50 A 769 762 5.82      
51 A 739 732 4.45      
52 A 498 494 0.77      
53 A 428 424 0.38      
54 A 372 369 0.28      
55 A 319 316 0.09      
56 A 292 290 0.00      
57 A 262 259 0.00      
58 A 244 242 0.01      
59 A 218 216 0.06      
60 A 151 150 0.05      
61 A 110 109 0.01      
62 A 79 78 0.00      
63 A 64 63 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 47065.0 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 46636.7 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 PBEPBE/3-21G
ABC
0.19070 0.03591 0.03249

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.575 0.129 -0.221
H2 -0.601 0.099 -1.331
C3 -0.760 1.593 0.243
C4 -1.723 -0.772 0.312
C5 0.793 -0.433 0.250
C6 -3.109 -0.426 -0.278
C7 2.020 0.245 -0.405
C8 3.346 -0.400 0.062
H9 -0.739 1.639 1.348
H10 0.045 2.240 -0.147
H11 -1.724 2.004 -0.105
H12 -1.752 -0.688 1.417
H13 -1.482 -1.826 0.071
H14 0.830 -1.518 0.023
H15 0.860 -0.327 1.353
H16 -3.879 -1.128 0.089
H17 -3.421 0.596 0.000
H18 -3.083 -0.491 -1.382
H19 2.030 1.323 -0.158
H20 1.932 0.160 -1.506
H21 4.217 0.084 -0.414
H22 3.454 -0.309 1.158
H23 3.363 -1.475 -0.195

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
C11.11091.54701.55301.55262.59462.60493.96682.18372.20202.20212.17552.17432.17852.17823.54782.89232.83172.86722.81824.79644.28144.2527
H21.11092.17572.17202.17392.77072.78354.21473.09322.53032.52873.08152.53932.54833.08513.77743.15822.55173.12992.53974.90404.77534.4136
C31.54702.17572.55422.55273.14133.15714.56761.10671.10391.10382.75043.49863.50062.74664.14182.85233.51792.83203.51575.24194.71315.1581
C41.55302.17202.55422.54031.54583.94495.08882.80213.52252.80691.10851.10832.67592.82042.19602.20222.19014.32424.18796.04525.26665.1599
C51.55262.17392.55272.54033.93851.54712.55942.80102.80413.52132.81182.67401.10941.10984.72644.34564.20622.18592.17553.52522.81422.8086
C62.59462.77073.14131.54583.93855.17506.46423.53944.13212.80292.18782.17534.09914.29281.10461.10391.10555.43065.22207.34536.72016.5576
C72.60492.78353.15713.94491.54715.17501.54643.55412.81984.14764.29194.09642.16972.18266.07685.46795.24751.10591.10782.20252.19232.1923
C83.96684.21474.56765.08882.55946.46421.54644.74334.23255.61325.28265.03372.75312.80187.26116.84026.58932.17892.18431.10441.10541.1053
H92.18373.09321.10672.80212.80103.53943.55414.74331.79251.79282.53833.76663.76612.53424.37003.17794.18093.16854.17985.48494.62745.3765
H102.20202.53031.10393.52252.80414.13212.81984.23251.79251.78453.77474.34893.84323.08335.17643.83914.33152.18753.12034.70404.45264.9819
H112.20212.52871.10382.80693.52132.80294.14765.61321.79281.78453.09253.84194.35233.77303.80702.20843.11483.81584.32786.25085.80986.1635
H122.17553.08152.75041.10852.81182.18784.29195.28262.53833.77473.09251.78333.04952.63762.54562.53803.10554.56404.77906.29085.22645.4206
H132.17432.53933.49861.10832.67402.17534.09645.03373.76664.34893.84191.78332.33273.06162.49663.10352.54134.72274.25326.02985.27714.8649
H142.17852.54833.50062.67591.10944.09912.16972.75313.76613.84324.35233.04952.33271.78544.72534.74784.28243.08932.52383.77193.10452.5428
H152.17823.08512.74662.82041.10984.29282.18262.80182.53423.08333.77302.63763.06161.78544.96944.58384.80122.52483.09213.81552.60153.1589
H163.54783.77744.14182.19604.72641.10466.07687.26114.37005.17643.80702.54562.49664.72534.96941.78571.79016.40216.16238.20137.45567.2557
H172.89233.15822.85232.20224.34561.10395.46796.84023.17793.83912.20842.53803.10354.74784.58381.78571.79015.50235.57857.66647.03077.0961
H182.83172.55173.51792.19014.20621.10555.24756.58934.18094.33153.11483.10552.54134.28244.80121.79011.79015.56165.05867.38597.01556.6278
H192.86723.12992.83204.32422.18595.43061.10592.17893.16852.18753.81584.56404.72273.08932.52486.40215.50235.56161.78292.52602.53393.0994
H202.81822.53973.51574.18792.17555.22201.10782.18434.17983.12034.32784.77904.25322.52383.09216.16235.57855.05861.78292.53343.10402.5380
H214.79644.90405.24196.04523.52527.34532.20251.10445.48494.70406.25086.29086.02983.77193.81558.20137.66647.38592.52602.53341.79081.7910
H224.28144.77534.71315.26662.81426.72012.19231.10544.62744.45265.80985.22645.27713.10452.60157.45567.03077.01552.53393.10401.79081.7889
H234.25274.41365.15815.15992.80866.55762.19231.10535.37654.98196.16355.42064.86492.54283.15897.25577.09616.62783.09942.53801.79101.7889

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 109.642 C1 C3 H10 111.237
C1 C3 H11 111.250 C1 C4 C6 113.708
C1 C4 H12 108.494 C1 C4 H13 108.413
C1 C5 C7 114.359 C1 C5 H14 108.699
C1 C5 H15 108.654 H2 C1 C3 108.782
H2 C1 C4 108.096 H2 C1 C5 108.262
C3 C1 C4 110.963 C3 C1 C5 110.888
C4 C1 C5 109.762 C4 C6 H16 110.802
C4 C6 H17 111.331 C4 C6 H18 110.282
C5 C7 C8 111.659 C5 C7 H19 109.846
C5 C7 H20 108.934 C6 C4 H12 109.924
C6 C4 H13 108.975 C7 C5 H14 108.395
C7 C5 H15 109.365 C7 C8 H21 111.283
C7 C8 H22 110.427 C7 C8 H23 110.424
C8 C7 H19 109.347 C8 C7 H20 109.660
H9 C3 H10 108.362 H9 C3 H11 108.397
H10 C3 H11 107.857 H12 C4 H13 107.111
H14 C5 H15 107.128 H16 C6 H17 107.908
H16 C6 H18 108.179 H17 C6 H18 108.228
H19 C7 H20 107.293 H21 C8 H22 108.271
H21 C8 H23 108.295 H22 C8 H23 108.040
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.249      
2 H 0.195      
3 C -0.579      
4 C -0.381      
5 C -0.356      
6 C -0.600      
7 C -0.417      
8 C -0.592      
9 H 0.194      
10 H 0.203      
11 H 0.202      
12 H 0.195      
13 H 0.198      
14 H 0.194      
15 H 0.191      
16 H 0.200      
17 H 0.203      
18 H 0.199      
19 H 0.204      
20 H 0.199      
21 H 0.199      
22 H 0.200      
23 H 0.199      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.005 0.000 -0.027 0.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.397 0.193 -0.128
y 0.193 -48.099 0.175
z -0.128 0.175 -47.891
Traceless
 xyz
x -0.402 0.193 -0.128
y 0.193 0.045 0.175
z -0.128 0.175 0.357
Polar
3z2-r20.714
x2-y2-0.299
xy0.193
xz-0.128
yz0.175


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.974 0.068 -0.008
y 0.068 10.230 0.009
z -0.008 0.009 9.619


<r2> (average value of r2) Å2
<r2> 365.091
(<r2>)1/2 19.107