Krypton, atomic volume

Kinetics, chemical, 124 Knudsen cell, 63 Kroll process, 368 Krypton, 91 atomic volume, 410 boiling point, 307 heat of vaporization, 105... 

Krypton crystallizes with a face-centered cubic unit cell of edge 559 pm. (a) What is the density of solid krypton (b) What is the atomic radius of krypton (c) What is the volume of one krypton atom (d) What percentage of the unit cell is empty space if each atom is treated as a hard sphere ... 

In previous chapters, we saw that the volume of an atom is taken up primarily by its electrons (Chapter 2) occupying quantum-mechanical orbitals (Chapter 7). We also saw that these orbitals do not have a definite boundary but represent only a statistical probability distribution for where the electron is found. So how do we define the size of an atom One way to define atomic radii is to consider the distance between nonbonding atoms that are in direct contact. For example, krypton can be frozen into a solid in which the krypton atoms are touching each other but are not bonded together. The distance between the centers of adjacent krypton atoms—which can be determined from the solid s density—is then twice the radius of a krypton atom. An atomic radius determined in this way is called the nonbonding atomic radius or the van der Waals radius. The van der Waals radius represents the radius of an atom when it is not bonded to another atom. 

A.6.7 The constant b is an indication of molecular volume, thus it could be used to estimate the radius of an atom or molecule, modeled as a sphere. The value of b in Table 6.Q.6.6 indicates that a mole of krypton gas occupies 0.03961. This can be used to estimate the radius 6.02 x lO krypton spheres will occupy the volume given by b. A single argon particle will therefore occupy... 

An important property of the MOT is the ability to catch atoms whose optical frequencies are shifted from the laser frequency by only a few natural linewidths. This property has been applied for ultrasensitive isotope trace analysis. Chen et al. (1999) developed the technique in order to detect a counted number of atoms of the radioactive isotopes Kr and Kr, with abundances 10 and 10 relative to the stable isotope Kr. The technique was called atom trap trace analysis (ATTA). At present, only the technique of accelerator mass spectrometry (AMS) has a detection sensitivity comparable to that of ATTA. Unlike the AMS technique based on a high-power cyclotron, the ATTA technique is much simpler and does not require a special operational environment. In the experiments by Chen et al. (1999), krypton gas was injected into a DC discharge volume, where the atoms were excited to a metastable level. 2D transverse laser cooling was used to collimate the atomic beam, and the Zee-man slowing technique was used to load the atoms into the MOT. With the specific laser frequency chosen for trapping the Kr or Kr isotope, only the chosen isotope could be trapped by the MOT. The experiment was able to detect a single trapped atom of an isotope, which remained in the MOT for about a second. 

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