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hat there were electrons inside? Use the position - momentum uncertainty relation, x Ap ≥ ħ, to estimate the minimum momentum of an electron confined to a nucleus radius 10-¹3 cm). From the relativistic energy - momentum relation, E² – p²c² = m²c4, etermine the corresponding energy, and compare it with that of an electron emitted in, say, he beta decay of tritium (Fig 1.6). (This result convinced some people that the beta-decay lectron could not have been rattling around inside the nucleus, but must be produced in the isintegration itself.)

hat there were electrons inside? Use the position - momentum uncertainty relation, x Ap ≥ ħ, to estimate the minimum momentum of an electron confined to a nucleus radius 10-¹3 cm). From the relativistic energy - momentum relation, E² – p²c² = m²c4, etermine the corresponding energy, and compare it with that of an electron emitted in, say, he beta decay of tritium (Fig 1.6). (This result convinced some people that the beta-decay lectron could not have been rattling around inside the nucleus, but must be produced in the isintegration itself.)

Chemistry: The Molecular Science
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter5: Electron Configurations And The Periodic Table
Section: Chapter Questions
Problem 141QRT
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3 In the period before the discovery of the neutron many people thought the nucleus consisted of protons and electrons, with the atomic number equal to the excess number of protons. Beta decay seemed to support this idea - after all, electrons come popping out; doesn't that imply that there were electrons inside? Use the position - momentum uncertainty relation, Ax Aph, to estimate the minimum momentum of an electron confined to a nucleus (radius 10-¹3 cm). From the relativistic energy - momentum relation, E² – p²c² = m²c4, determine the corresponding energy, and compare it with that of an electron emitted in, say, the beta decay of tritium (Fig 1.6). (This result convinced some people that the beta-decay electron could not have been rattling around inside the nucleus, but must be produced in the disintegration itself.)
Transcribed Image Text:3 In the period before the discovery of the neutron many people thought the nucleus consisted of protons and electrons, with the atomic number equal to the excess number of protons. Beta decay seemed to support this idea - after all, electrons come popping out; doesn't that imply that there were electrons inside? Use the position - momentum uncertainty relation, Ax Aph, to estimate the minimum momentum of an electron confined to a nucleus (radius 10-¹3 cm). From the relativistic energy - momentum relation, E² – p²c² = m²c4, determine the corresponding energy, and compare it with that of an electron emitted in, say, the beta decay of tritium (Fig 1.6). (This result convinced some people that the beta-decay electron could not have been rattling around inside the nucleus, but must be produced in the disintegration itself.)
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