No Fear Translations of Shakespeare’s plays (along with audio!) and other classic works
Flashcards
Mastery Quizzes
Infographics
Graphic Novels
AP® Test Prep PLUS
AP® Practice & Lessons
My PLUS Activity
Note-taking
Bookmarking
Dashboard
Annual
$22.49/month + tax
Save
25%
on 2-49 accounts
Annual
$20.99/month + tax
Save
30%
on 50-99 accounts
Focused-studying
Ad-free experience
Study Guides for 1,000+ titles
Full Text content for 250+ titles
PLUS Study Tools
No Fear Translations of Shakespeare’s plays (along with audio!) and other classic works
Flashcards
Mastery Quizzes
Infographics
Graphic Novels
AP® Test Prep PLUS
AP® Practice & Lessons
My PLUS Activity
Note-taking
Bookmarking
Dashboard
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.
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.
Create Account
Select Plan
3
Payment Info
4
Start 7-Day Free Trial!
Payment Information
You will only be charged after the completion of the 7-day free trial.
If you cancel your account before the free trial is over, you will not be charged.
You will only be charged after the completion of the 7-day free trial. If you cancel your account before the free trial is over, you will not be charged.
Order Summary
Annual
7-day Free Trial
SparkNotes PLUS
$29.99 / year
Annual
Quantity
51
PLUS Group Discount
$29.99 $29.99 / seat
Tax
$0.00
SPARK25
-$1.25
25% Off
Total billed on Nov 7, 2024 after 7-day free trail
$29.99
Total billed
$0.00
Due Today
$0.00
Promo code
This is not a valid promo code
Card Details
By placing your order you agree to our terms of service and privacy policy.
By saving your payment information you allow SparkNotes to charge you for future payments in accordance with their terms.
Powered by stripe
Legal
Google pay.......
Welcome to
Thank You!
Your group members can use the joining link below to redeem their membership. They will be prompted to log into an existing account or to create a new account.
All members under 16 will be required to obtain a parent's consent sent via link in an email.
Your Child’s Free Trial Starts Now!
Thank you for completing the sign-up process. Your child’s SparkNotes PLUS login credentials are [email] and the associated password.
If you have any questions, please visit our help center.
Your Free Trial Starts Now!
Please wait while we process your payment
Parent’s Email is Required
A parent must help manage your account. Enter their email below and we’ll send them a link to finish signing
up for SparkNotes PLUS.
We’ve sent an email to parentsname@email.com. In
order to access SparkNotes PLUS, your parent must click the link provided in the email.
We’ve sent an email to parentsname@email.com. In order to access
SparkNotes PLUS, your parent must follow the link provided in the email to complete the sign-up process.
When a highly electronegative atom and an electropositive one are
bonded together, an
electron is transferred from the electropositive atom to the
electronegative atom to form a cation
and an anion, respectively. The cation, being a positively charged
ion, is attracted to the
negatively charged anion as described by Coulomb's law:
Figure %: Coulomb's law states that oppositely charged species attract each
other.
A negative energy means there is an attractive interaction between the particles
in the . If the charges on the two ions are opposite in sign, they
will attract each
other. Conversely, if two
charges are similar, they repel each other. Using this knowledge we can
construct a graph of energy
versus distance for two oppositely charges ions. At large distances, there
is a negligible energy of
attraction between the two ions, but as they are brought closer together,
they are attracted to one another. Coulomb's law may seem to predict that the
ions should be as close
as possible to achieve a
minimal energy state. However, the shows that the
ions are actually repelled at small distances. To explain this
observation, remember that the ions'
nuclei are both positively charged. When the nuclei approach each other,
they repel strongly--accounting for the steep rise in potential as the ions get
closer
than the bond length.
Figure %: Plot of potential energy versus distance for oppositely charged ions
The depth (y-axis) of the minimum in the potential energy curve above represents
the
bond strength, and the distance (x-axis) at the energy minimum is the bond
length. Using Coulomb's
law and the bond length, one can actually predict with some accuracy the
strength of an ionic bond.
Performing a series of these calculations you find that ionic compounds
formed by ions with larger
charges create stronger bonds and that ionic compounds with shorter bond
lengths form stronger
bonds.
Crystal Lattices
Ionic compounds do not usually exist as isolated molecules, such as LiCl,
but as a part of a crystal
lattice--a three dimensional regular array of cations and anions.
Ionic compounds form lattices
due to the contributing coulombic attractions of having each cation surrounded
by several anions and
each anion surrounded by several anions. An example of a crystal lattice
is shown in :
Figure %: An ionic crystal lattice
As you can see in the above figure, each lithium ion is surrounded by six
chlorine atoms and vice
versa. By virtue of the arrangement of the ions in the lattice, the
lattice is lower in energy than it would be if the
ions were separated into isolated LiCl molecules.