calculate the atomic radii in picometrs for nitrogen?

Question

for chemistry

Answer 1

OK, from our basic physics, the radius of a nucleon (neutron or proton) is of the order of 1 fm = (10E-15 m). The nuclear radius can be approximated by:

R = R_0 AE{1/3}

where

A is the mass number,
and R_0 = 1.2 fm.

Now, you need to convert fm (femtometers), to picometers, and then determine the number of nucleons in the nuclei, and calculate the radii thusly. For your assistance, the definition of the Barn, which is the area of an atomic nucleus, is given below.

barn (b), A unit of area used in nuclear physics. When atoms are bombarded with smaller particles such as electrons, the electrons are scattered as if the nucleus of the atom was a tiny solid object. The barn is used to express the apparent cross-sectional area of this scattering object. One barn is equal to 10E-28 square meters. Using this unit, physicists can say that such and such a nucleus is "as big as a barn," or 10 barns, or whatever. The proper SI unit to use for these measurements is the square femtometer (fmE2); one barn equals 100 fmE2.