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No Fear Translations of Shakespeare’s plays (along with audio!) and other classic works
Flashcards
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Infographics
Graphic Novels
AP® Test Prep PLUS
AP® Practice & Lessons
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Testimonials from SparkNotes Customers
No Fear provides access to Shakespeare for students who normally couldn’t (or wouldn’t) read his plays. It’s also a very useful tool when trying to explain Shakespeare’s wordplay!
Erika M.
I tutor high school students in a variety of subjects. Having access to the literature translations helps me to stay informed about the various assignments. Your summaries and translations are invaluable.
Kathy B.
Teaching Shakespeare to today's generation can be challenging. No Fear helps a ton with understanding the crux of the text.
Kay H.
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It is possible to get an estimate of where charges in a molecule are likely to
lie by inspecting its Lewis structure and assigning formal charges to
specific atoms. To obtain the formal charge of an atom:
Take the atom's group number.
Subtract the number of lone pairs on the atom.
Subtract half the number of bonding electrons.
For example, let's examine the molecule methane, seen in . Carbon is group IV; the
carbon atom
in methane has zero lone
pairs and eight electrons involved in bonds around it. Following the steps
listed above: 4 - 0 -
1/2(8) = 0. In this Lewis structure Carbon has no Formal charge.
Remember that formal charges are just a bookkeeping tool and do not necessarily
represent actual charges. However, the sum of formal charges on a molecule must
equal its net charge.
How to Write Lewis Structures
As you have seen throughout this section, the simplest way to represent and
describe molecules is to use a Lewis structure. The Lewis structure model
generally follows the octet rule and provides a framework to
understand
covalent
bonding. Lewis structures represent valence electrons as dots and bonding
electrons as lines. Lewis structures do not represent inner electrons;
only valence electrons are shown.
Here we give a step-by-step procedure for writing valid Lewis structures
for any given molecular formula:
Count the total number of valence electrons by summing the group numbers of
all the atoms. If there is a net positive charge, subtract that number from the
total electron count. If there is a net negative charge, add that number to the
total electron count.
Draw single bonds to form the desired connectivity.
Add lone pairs and multiple bonds, keeping the octet rule in mind.
Add formal charges as needed.
An example:
Figure %: Drawing a Lewis Structure for [C2H3O]-
Notice that it is possible to write two separate valid Lewis structures for
the given connectivity. This phenomenon is discussed in the next section,
Resonance.
Some Common Bonding Motifs in Organic Molecules
You have seen that carbon tends to form four bonds, nitrogen three, oxygen two,
and
hydrogen/halogens one (remember also: as the number of bonds of an atom
decreases,
the number of its lone pairs increases). The number of bonds that a
neutral atom forms is called its valence. Hence carbon is tetravalent,
nitrogen is trivalent, oxygen is divalent, and so on. However, a carbon atom,
for example, can be tetravalent in a number of different ways. The following
chart shows a number of common bonding motifs for carbon, nitrogen, oxygen, and
hydrogen.
Figure %: Bonding patterns
The majority of motifs in the table above obey the octet rule, with
one
exception. Carbon can form a trivalent species with a positive charge.
This phenomenon is known as a carbocation. Such a carbon atom is extremely
unstable due to its lack of an octet, but its reactivity makes it a source of a
great deal of fascinating chemistry that we will later discuss.
While atoms can occasionally be short of a full octet, elements in the
first two rows of the periodic table can never exceed the octet.
Students often make the dreaded mistake of drawing pentavalent carbons.
Never do this! (However, if you do, rest assured that all organic students make
this mistake at sometime or other.) Elements in row 3 and above can exceed
the octet by using d-orbitals.