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It is more pronounced than the lanthanide contraction because the 5f electrons are less effective at shielding than 4f electrons. [1] It is caused by the poor shielding effect of nuclear charge by the 5f electrons along with the expected periodic trend of increasing electronegativity and nuclear charge on moving from left to right.
For example, thallium (Z = 81) has the ground-state configuration 1s 2 2s 2 2p 6 3s 2 3p 6 4s 2 3d 10 4p 6 5s 2 4d 10 5p 6 6s 2 4f 14 5d 10 6p 1 [4] or in condensed form, [Xe] 6s 2 4f 14 5d 10 6p 1. Other authors write the subshells outside of the noble gas core in order of increasing n , or if equal, increasing n + l , such as Tl ( Z = 81) [Xe ...
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
An illustration of the five-point stencil in one and two dimensions (top, and bottom, respectively). In numerical analysis, given a square grid in one or two dimensions, the five-point stencil of a point in the grid is a stencil made up of the point itself together with its four "neighbors".
The order of words chosen by Vitruvius, with structural integrity coming before the utility, can be explained in two ways. Either the emphasis on firmness was driven by an understanding of architecture as an "art of building", or by the fact that buildings frequently outlive their initial purpose, so "functions, customs, ... and fashions ... are only transitory" (Auguste Perret), and ...
For example: The two had been fighting for a month, but around others it was all sweetness and light. [1] Esteemed humorous writer P. G. Wodehouse employed the phrase often, sometimes with a slight nod to the phrase's dual-edge. Originally, however, "sweetness and light" had a special use in literary and cultural criticism meaning "pleasing and ...
Or, we may read it with this ellipsis, Whosoever shall say to his father, &c. he shall do the commandment of God, or shall fulfil the Law, or shall be worthy of life eternal." [ 4 ] Jerome : "Or it may briefly have the following sense; Ye compel children to say to their parents, What gift soever I was purposing to offer to God, you take and ...
Verses 1,3,17 and 22 from Psalm 94, beginning the four sections of Reubke's Sonata Sonata on the 94th Psalm for organ was composed by Julius Reubke , a student of Franz Liszt , and first performed in 1857; It is programmatically based on selected verses, 1-3, 6-7, 17, 19, 22-23, and became a staple of the organ repertoire.