different between eagerness vs excitement

English

From Middle English egernesse, egrenesse; equivalent to eager +? -ness.

eagerness (usually uncountable, plural eagernesses)

The state or quality of being eager; ardent desire.
- 1909: Frances Hodgson Burnett, The Secret Garden
  The things he had to tell about...were enough to make you almost tremble with excitement, when you heard all the intimate details from an animal charmer and realized with what thrilling eagerness and anxiety the whole busy underworld was working.
(obsolete) Tartness; sourness

excite +? -ment

excitement (countable and uncountable, plural excitements)

(uncountable) the state of being excited (emotionally aroused).
- E.A. Poe, The unparalleled adventure of one Hans Pfaal:
  By late accounts from Rotterdam, that city seems to be in a high state of philosophical excitement.
(countable) something that excites.

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