'Neck Tension' is a GROUP of all sorts of processes that compile to become 'Optimum' characteristics for what we are doing.
What we are looking for when annealing is to reabsorb stray molicules ('Dust'), and chips from broken chrystals that happen during 'Cold Working' the brass.
Firing & resizing are Cold Working processes.
A SPECIFIC CHRYSTALINE SIZE & ORIENTATION OF GRAINS is what makes brass 'OPTIMUM'.
Too large of chrystals, the brass doesn't have the pressure handling capabilities we rely on in cartridge brass,
Too large of chrystals and the brass becomes 'Sticky' and doesn't want to contract after firing or remove from the chamber,
Too large of chrystals and the brass stays undersized coming out of the die, there is no 'Snap Back' to a slightly larger size the die manufacturers are counting on for proper sizing.
Too SMALL, broken chrystals RESIST SIZING, they 'Snap Back' too much.
The defects compound to make faults that make the brass fail catastrophically, case & head separations, neck splits, ect.
OPTIMUM IS A CHRYSTAL SIZE AND GRAIN ORIENTATION BETWEEN 'HARD' & 'SOFT'.
THIS IS THE OPTIMUM PERFORMANCE, OR OPTIMUM CHARACTERISTICS FOR WHAT WE ARE DOING.
If this was 'Bearing Brass' or brass for bushings, we would want it MUCH harder,
If this were 'Spring' brass, we would want it as soft as possible.
For firearms cartridge cases, there is a quite specific, or optimum range we are looking for.
'Cartridge Brass' is fairly unique because it can be room temperature cold worked to extremes without total failure,
It can be annealed, chrystals re-formed under relatively low heat (heat ranges you can easily produce at home), and cartridge brass can be corrected without exotic gas enviormental, vacuum Chambers, or precise control of cooling after heating.
Open atmosphere & heat source are all that is required to produce the molecular change.
'Cold Working' breaks the chrystal structures into smaller and smaller bits.
Broken, occluded, 'Dirty' grain structure & small chrystals RESIST resizing!
They are UNDER STRESS in every direction, and they want to snap back to previous size, screwing up CONSISTENT sizing.
Since you have a SINGLE, GIVEN SIZING DIE, this isn't good.
You would have to have a full range of sizing dies, each microscopic different, and go through the range of dies until you found the one that beat the brass back to a given size that is your 'Constant' or 'Standard' size.
By restoring the brass to a point THE BRASS STRUCTURE is consistent, the brass will size consistently, then you need ONE SIZING DIE that beats the brass back to your perfered specifications.
Annealing removes the micro voids, the 'Dust' & fragments that happen when brass work hardens,
And when done PRECISELY CORRECTLY, you can even restore/control chrystal size,
All the while REMOVING RANDOM PRELOAD STRESSING that fights uniform resizing (cold working).
Annealing removes occlusions, voids, recombines the broken pieces of Chrystals back into the chrystaline structure.
This prevents a place for a crack to get started. Stress cracks in brass are simply broken up grain structure that is do bad the damaged sections pull apart,
By restoring structure, cracks don't form... The brass lives a crap load longer, but as a byproduct of annealing rather than annealing for brass longevity specifically.
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The 'Annealing For Dummies' version is somewhere between 700*F and 800*F your brass will mostly 'Repair' itself.
There is no specific temp that will anneal perfectly since every brass formula is different.
Lower temps require more time, higher temps require almost zero time.
Undercooking is better than overcooking, under cooking will give you some benefit, and allow you to try again,
Overcooked is ruined forever, no PRACTICAL way to recover.