July 01, 2007

We all live in atom! Calculations.

See the beginning of the article «We all live in atom!»

Well, as I promised here are calculation that prove… in fact they don’t prove anything. Just interesting calculations =)

Some useful data from the reference books:

- Mass of the electron me = 9.109534 * 10-31

- Mass of the proton mp = 1.6726485 * 10-27

- Mass of the neutron mn = 1.6749543 * 10-27

All this is in kilograms. As the nucleus of atom consists of neutron and proton, we’ll get the mass of nucleus:

mz = mp + mn = 3.3476028 * 10-27 kg.

Now let’ see some data about solar system:

mSun = 1,99 * 1030 kg

And planets:

Mercury – 3,3 * 1023

Venus – 4,87 * 1024

Earth – 6,05 * 1024

Mars – 6,42 * 1023

Jupiter – 1,9 * 1027

Saturn – 5,68 * 1026

Uranium – 8,7 * 1025

Neptune – 1,02 * 1026

Pluto – 1,47 * 1022

Let’s calculate the average mass o the planet. Why average? Because the mass of the electron given in a reference book is average:

mav = 2,9654 * 1026 kg

Now we can see in how many times the mass of the electron differs from the nucleus mass and in how many times the mass the average mass of the planet differs from the mass of the Sun:

A = mz / me = 3674.83 (it’s in atom)

C = msun / mav = 6710.73 (it’s in a solar system)

What conclusion can we make from the calculation? Not saying that nucleus and planets are the same, we can just say they are «almost similar», because the scales are tremendous, and a difference in ratios isn’t so large. But if we suppose that the masses of the «nucles» are the samewe obtain that planets are 2 times less than electrons.

Let’s view the diagram of masses of the planets of the solar system:

As we see from abovethere are very little planets that even don’t appear at the diagram. Suppose that such little ones are present in atom as well. But yet we can’t detect them and see only electrons-giants (electrons «Jupiter», «Saturn» and so on)

Then let’s exclude the little planets mass in the calculation of the average planet mass.

We obtain:

Jupiter – 1,9 * 1027

Saturn – 5,68 * 1026

Uranium – 8,7 * 1025

Neptune – 1,02 * 1026

mav2 = 6,6425 * 1026 kg

Then, the ratio of the mass of the sun to average planet mass is:

C2 = msun / mav2 = 2995.85

Recall, that for atom we obtained 3674.83.

So, I congratulate all of youwe all live on a little electron in a huge atom.

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