Knowledge

Mass excess

Source 📝

90:, on the order of 0.01% to 0.1% of the total mass, may be absorbed or liberated as radiation. By working in terms of the mass excess, much of the mass changes which arise from the transfer or release of nucleons is effectively removed, highlighting the net energy difference. 70:(which defines the dalton). If the mass excess is negative, the nucleus has more binding energy than C, and vice versa. If a nucleus has a large excess of mass compared to a nearby nuclear species, it can 225:, which shows that the mass excess of the products is less than that of the reactants, and so the fission can occur – a calculation which could have also been done with only the masses of the reactants. 127:
factor is typically omitted when quoting mass excess values in MeV, since the interest is more often energy and not mass; if one wanted units of mass, one would simply change the units from MeV to MeV/
82:
The C standard provides a convenient unit (the dalton) in which to express nuclear mass for defining the mass excess. However, its usefulness arises in the calculation of nuclear reaction
50:
is well approximated (less than 0.1% difference for most nuclides) by its mass number, which indicates that most of the mass of a nucleus arises from mass of its constituent
304: 281: 174:. Calculated in the same manner, the respective mass excesses for the products, Kr, Ba, and three neutrons, are 115:) a convenient form in which to express nuclear mass. However, the numerical values of nuclear masses in MeV/ 17: 119:
are quite large (even the proton mass is ~938.27 MeV/c), while mass excesses range in the tens of MeV/
87: 371: 296: 366: 86:
or decay. Only a small fraction of the total energy that is associated with an atomic nucleus by
59: 337: 273: 98: 8: 349: 341: 322: 217:. The difference between the mass excess of the reactants and that of the products is 300: 277: 71: 345: 46:. It is one of the predominant methods for tabulating nuclear mass. The mass of an 123:. This makes tabulated mass excess less cumbersome for use in calculations. The 1/ 101:
technology. The combination of this practical point with the theoretical relation
140: 235: 47: 360: 162: 93:
Nuclear reaction kinematics are customarily performed in units involving the
43: 94: 152: 39: 83: 111:
makes the unit megaelectronvolt over the speed of light squared (MeV/
67: 321:
Audi, G.; Kondev, F. G.; Wang, M.; Huang, W. J.; Naimi, S. (2017).
244: 63: 55: 35: 51: 27:
Difference between actual mass and mass number for nuclei
155:
of the reactant, U, is 236. Because the actual mass is
77: 320: 228:The mass excess can be converted into energy using 38:is the difference between its actual mass and its 323:"The NUBASE2016 evaluation of nuclear properties" 358: 58:. Thus, the mass excess is an expression of the 290: 209:, respectively, for a total mass excess of 291:Tipler, P. A; Llewellyn, R. A. (2004). 14: 359: 143:of U into Kr, Ba, and three neutrons. 131:without altering the numerical value. 267: 62:, relative to the binding energy per 24: 25: 383: 314: 78:Energy scale of nuclear reactions 13: 1: 350:10.1088/1674-1137/41/3/030001 261: 270:Introductory Nuclear Physics 7: 10: 388: 134: 297:W. H. Freeman and Company 88:mass–energy equivalence 166:, its mass excess is + 60:nuclear binding energy 274:John Wiley & Sons 97:, which derives from 268:Krane, K. S (1987). 74:, releasing energy. 342:2017ChPhC..41c0001A 72:radioactively decay 372:Nuclear chemistry 330:Chinese Physics C 147:U → Kr + Ba + 3 n 16:(Redirected from 379: 353: 327: 310: 287: 257: 256:166.737 MeV 253: 241: 231: 224: 222: 216: 214: 208: 207: 205: 199: 197: 189: 187: 181: 179: 173: 171: 165: 160: 110: 21: 387: 386: 382: 381: 380: 378: 377: 376: 367:Nuclear physics 357: 356: 325: 317: 307: 284: 264: 255: 243: 233: 229: 220: 218: 212: 210: 203: 201: 195: 193: 191: 185: 183: 177: 175: 169: 167: 158: 156: 141:nuclear fission 137: 102: 80: 28: 23: 22: 15: 12: 11: 5: 385: 375: 374: 369: 355: 354: 316: 315:External links 313: 312: 311: 305: 293:Modern Physics 288: 282: 263: 260: 149: 148: 136: 133: 79: 76: 48:atomic nucleus 26: 9: 6: 4: 3: 2: 384: 373: 370: 368: 365: 364: 362: 351: 347: 343: 339: 336:(3): 030001. 335: 331: 324: 319: 318: 308: 306:0-7167-4345-0 302: 298: 294: 289: 285: 283:0-471-80553-X 279: 275: 271: 266: 265: 259: 252: 251: 247: 240: 239: 234:931.494  226: 164: 154: 146: 145: 144: 142: 139:Consider the 132: 130: 126: 122: 118: 114: 109: 105: 100: 96: 91: 89: 85: 75: 73: 69: 65: 61: 57: 53: 49: 45: 41: 37: 33: 19: 18:Excess energy 333: 329: 292: 269: 249: 245: 237: 227: 150: 138: 128: 124: 120: 116: 112: 107: 103: 95:electronvolt 92: 81: 31: 29: 254:, yielding 153:mass number 99:accelerator 40:mass number 32:mass excess 361:Categories 262:References 84:kinematics 230:1 Da 68:carbon-12 223: Da 215: Da 206: Da 198: Da 188: Da 180: Da 172: Da 56:neutrons 338:Bibcode 157:236.045 135:Example 64:nucleon 52:protons 44:daltons 36:nuclide 303:  280:  242:, and 211:−0.133 184:−0.085 176:−0.073 161:  326:(PDF) 219:0.179 202:0.025 194:0.008 168:0.045 34:of a 301:ISBN 278:ISBN 236:MeV/ 192:3 × 190:and 151:The 54:and 30:The 346:doi 221:000 213:437 204:994 200:= + 196:665 186:588 178:843 170:563 159:563 66:of 42:in 363:: 344:. 334:41 332:. 328:. 299:. 295:. 276:. 272:. 258:. 250:mc 248:= 232:= 182:, 163:Da 108:mc 106:= 352:. 348:: 340:: 309:. 286:. 246:E 238:c 129:c 125:c 121:c 117:c 113:c 104:E 20:)

Index

Excess energy
nuclide
mass number
daltons
atomic nucleus
protons
neutrons
nuclear binding energy
nucleon
carbon-12
radioactively decay
kinematics
mass–energy equivalence
electronvolt
accelerator
nuclear fission
mass number
Da
MeV/c
E = mc
John Wiley & Sons
ISBN
0-471-80553-X
W. H. Freeman and Company
ISBN
0-7167-4345-0
"The NUBASE2016 evaluation of nuclear properties"
Bibcode
2017ChPhC..41c0001A
doi

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.