Skyrim:Chaos Damage

Chaos Damage is an enchantment.

Effects
Fire Damage,   pts for 1 sec (50% chance)
Frost Damage,   pts for 1 sec (50% chance)
Shock Damage,   pts for 1 sec (50% chance)

Enchanting
The following items use this enchantment. You can learn how to enchant custom items with chaos damage if you find one of the following items and disenchant it:
All weapons of Chaos
All weapons of Extreme Chaos
All weapons of High Chaos
All weapons of Ultimate Chaos
Champion's Cudgel

Notes
The enchantment benefits from all the Augmented elemental perks.  Additionally, if you have more than one of these perks, the damage multipliers are compounded on each other.  For example, if you have two levels of all three perks, the base damage for Chaos enchantments becomes    for a total of   .  This is on top of the average damage mentioned below.
Chaos Damage enchantments are 25% stronger when applied to stalhrim  weapons.
The average damage done by this enchantment (assuming no perks and against enemies without any resistance) is  1.5 ×   . To calculate this, consider that each element fires half of the time. Each of 3 elements does     damage half of the time. On average each element does  0.5 ×    damage. Thus, the average damage of the total enchantment is  3 × 0.5 ×    or 1.5 ×   . Similarly, for an enemy immune to an element, you only have to consider 2 of 3 elements so, the average damage is  2 × 0.5 ×    or    .

For single-wielded weapons:

The enchantment triggering probabilities are as follows :
7 in 8 chance (87.5%): At least one enchantment triggers.     damage to  3x   damage.
4 in 8 chance (50.0%): At least two enchantments trigger.  2x   damage to  3x   damage.
3 in 8 chance (37.5%): Exactly one enchantment triggers.     damage.
3 in 8 chance (37.5%): Exactly two enchantments trigger.  2×   damage.
1 in 8 chance (12.5%): All three enchantments trigger.  3×   damage.
1 in 8 chance (12.5%): None of the enchantments trigger.   damage.

For an enemy immune to one element (but with no resistances in the other two), the damage is just    :
4 in 8 chance (50%): One non-immune element or one non-immune + immune triggers.      damage.
2 in 8 chance (25%): Nothing or only immune element triggers.    damage.
2 in 8 chance (25%): Both non-immune elements trigger, or all three trigger.   2×   damage.

For dual-wielded weapons up to  6x   damage is possible (chaos damage must be applied to both weapons):

The enchantment triggering probabilities are as follows :
63 in 64 chance (98.44%): At least one enchantment triggers.     damage to  6x   damage.
57 in 64 chance (89.06%): At least two enchantments trigger.  2x   damage to  6x   damage.
42 in 64 chance (65.62%): At least three enchantments trigger.  3x   damage to  6x   damage.
22 in 64 chance (34.37%): At least four enchantments trigger.  4x   damage to  6x   damage.
20 in 64 chance (31.25%): Exactly three enchantments trigger.  3×   damage.
15 in 64 chance (23.44%): Exactly two enchantments trigger.  2×   damage.
15 in 64 chance (23.44%): Exactly four enchantments trigger.  4×   damage.
7  in 64 chance (10.94%): At least five enchantments trigger.  5x   damage to  6x   damage.
6  in 64 chance (9.37%) : Exactly  five enchantments trigger.  5×   damage.
6  in 64 chance (9.37%) : Exactly  one enchantment triggers.  1×   damage.
1  in 64 chance (1.56%) : All six enchantments trigger.  6×   damage.
1  in 64 chance (1.56%) : None of the enchantments trigger.   damage.

Bugs
 

See Also
This effect is related to:
Fire Damage, Frost Damage, Shock Damage
 
References