Words

Akkadian
adad - name of the Storm-god (Schwemer 2001: 34–58)

Var. addu

Akkadian
adamu - red, red garment (CAD A₁ 95, AHw. 10)

the meaning is highly uncertain

Akkadian
adāmu - to own a share in a common fund (CAD A₁ 95)

for other Semitic cognates to this Old Assyrian verb v. Kogan 2006c: 187

Akkadian
adāru/atāru/aṭāru - an indigenous tree (CAD A₁ 102)
Akkadian
adi - up to, as far as; until, up to (connoting time); concerning, as to (CAD A₁ 115, AHw. 12)

Also adu, gadu, ḳаdu, ḫadu, ad. The background of variants with initial ḳ and g is difficult to establish.
GAG § 114 j analyzes adīni and adīšu as lexicalized combinations of adi and pronominal suffixes.

Akkadian
adīni - until now; not yet (CAD A₁ 125, AHw. 13)

It is hard to avoid thinking that adīni ‘until now; not yet’, has something to do with PWS *ˁād- '(he is) still' also in terms of etymology (Kogan 2015: 76).

Akkadian
adīšu - meanwhile, until then (CAD A₁ 128, AHw. 13)
Akkadian
adru - threshing floor (CAD A₁ 129)

specifically Assyrian word (Kogan 2006c: 180)

Akkadian
aḫannā - this side, the nearer shore or bank (CAD A₁ 169, AHw. 18)

The word occurs in Neo-Babylonian, Late Babylonian, and Standard Babylonian only.

Akkadian
aḫātu - sister (CAD A₁ 195, AHw. 18)