This root was the basis for the main Elvish words for “dusk, night”, which was established as Q. lómë in Quenya for most of Tolkien’s life. The earliest form of this root was ᴱ√LOMO in the Qenya Lexicon of the 1910s, unglossed but with various derivatives having to do with “dusk” and “shadow” (QL/55). One notable derivative was ᴱQ. lóme “dusk, gloom, darkness”, which survived in Tolkien’s later writings as “night” and in the 1910s was the basis for ᴱQ. Hisilóme/G. Hithlum “Shadowy Twilights”. Another notable derivative was G. lómin “shady, shadowy, gloomy; gloom(iness)” (GL/45) used in the name G. Dor Lómin, which in the 1910s was translated as “Land of Shadow” (LT1/112).
The “shadow” meaning of this early root seems to have transferred to ᴹ√LUM from The Etymologies of the 1930s, which served as the new basis for N. Hithlum (Ety/LUM), as opposed contemporaneous N. Dor-lómen which was redefined as “Land of Echoes (< ᴹ√LAM via Ilkorin or in later writings, via North Sindarin). The “dusk” sense was transferred to a new root ᴹ√DOM “faint, dim”, which (along with ᴹ√DOƷ) was the basis for the pair words ᴹQ. lóme/N. dû “night” (Ety/DOMO).
These two words for “night” survived in Tolkien’s later writing in both Quenya and Sindarin (Let/308; SA/dú). In notes from the 1940s Tolkien clarified that it “has no evil connotations; it is a word of peace and beauty and has none of the associations of fear or groping that, say, ‘dark’ has for us” (SD/306). The Elves were quite comfortable being under the night sky, dating back to the time when the Elves lived under the stars before the rising of the Sun and the Moon. The root √DOM reappeared in etymologies for star-words from the late 1950s or early 1960s (PE17/152). It appeared again in some very late notes from 1969 where it was glossed “dark” and served as the basis for words meaning “blind” as well as “night”, though this paragraph was rejected (PE22/153, note #50).
Counterpart to the root √N(D)IL, this root first appeared in a marginal note from The Etymologies of the 1930s as ᴹ√NDUR or ᴹ√DUR “bow down, bend (down), obey, serve”, an elaboration of ᴹ√NDŪ “go down, sink, set (of Sun)” (Ety/NDŪ; EtyAC/NDŪ). In the Quenya Verbal System of the 1940s, ᴹ√NDUR was glossed “grow, be dark”, no doubt in connection to N./S. dûr “dark” (PE22/103), but later this “dark” word was connected more directly to √NDU “under, down”. Indeed, in a 1955 letter to David Masson, Tolkien gave √(N)DUR an origin distinct from √N(D)U, basing it on an independent root √DUR “to show special interest in things” (PE17/152); there was also an unglossed and deleted root ᴹ√DUR in The Etymologies of the 1930s (EtyAC/DUR). However, in a 1967 letter to Mr. Rang, -(n)dur again meant “to serve” (Let/386).
Neo-Eldarin: For purposes of Neo-Eldarin, I think it is best to keep the connection between √NDUR “bow down = serve” and √NDU “descend”. As for the semantic distinctions between -(n)dil and -(n)dur, see the entry on the root √N(D)IL for details.