Problem 52065. Nuclear Binding Energy

Created by David Hill

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Compute the approximate nuclear binding energy in MeV using the least-squares fit of the semi-emirical mass formula. Round to the nearest MeV.</span></span></div></div></div>

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7 Solutions
5 Solvers

Last Solution submitted on Jun 18, 2021

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Are Mjaavatten on 16 Jun 2021

Nice with a problem that is not purely mathematical!
Using the parameters for Least Squares Fit(1) from Wikipedia, I get values that differ from yours by up to 2 MeV (except for Li-7, where I get 38, while you get 34). Do you use a different parameter set, or have I made a mistake?

David Hill on 16 Jun 2021

I apologize, I messed up the polarity. Should be fixed now.

Are Mjaavatten on 16 Jun 2021

Thanks. I now pass every test except 6:

bindingEnergy({'Tl-203','Pb-208','Po-209','Ra-228'})
ans =
1596 1628 1632 1750
>> be
be =
1595 1628 1633 1749
Any ideas?

David Hill on 16 Jun 2021

I assume you are rounding at the end. Before rounding
[1595.950245381877 1628.458256218912 1632.283183807810 1750.279872731407]
I checked that my Z and N are correct, coefficients are correct, last term is correct. All answers should be correct.

ChrisR on 17 Jun 2021

I get the answers in the test suite.

Are Mjaavatten on 17 Jun 2021

My fault. Somehow I was still testing against the old test values. Sorry for the inconvenience.

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Problem 52065. Nuclear Binding Energy

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Problem 52065. Nuclear Binding Energy

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