5) (1) Knowing that lithium crystallizes in a cubic system with lattice considering its atomic mass (7) and its volumetric mass (546 kg-m-³), find which one is it ([simple cubic, body- centered cubic (bcc), or face-centered cubic (fcc))? (2) Knowing that the valence electrons of this metal (1 per atom) behave as free electrons, find the shape of the Fermi surface and its expression and then calculate its characteristic dimension kr. (3) Compare kɛ obtained in (2) to the distance dm, which in reciprocal space separates the origin from the first boundary of the first Brillouin zone nearest the origin. (Evaluate d, using simple geometric considerations without having to sketch the first Brillouin zone.) (4) Find the Fermi energy of lithium Er, the Fermi temperature TF, and the speed of wF of the fastest free electrons.
Thermochemistry
Thermochemistry can be considered as a branch of thermodynamics that deals with the connections between warmth, work, and various types of energy, formed because of different synthetic and actual cycles. Thermochemistry describes the energy changes that occur as a result of reactions or chemical changes in a substance.
Exergonic Reaction
The term exergonic is derived from the Greek word in which ‘ergon’ means work and exergonic means ‘work outside’. Exergonic reactions releases work energy. Exergonic reactions are different from exothermic reactions, the one that releases only heat energy during the course of the reaction. So, exothermic reaction is one type of exergonic reaction. Exergonic reaction releases work energy in different forms like heat, light or sound. For example, a glow stick releases light making that an exergonic reaction and not an exothermic reaction since no heat is released. Even endothermic reactions at very high temperature are exergonic.
Hi, Can you please solve the question and make explanation step by step? Just Option 4.
And If you are going to use handwriting please make sure that its readable and clear.
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