Please wait while we process your payment
If you don't see it, please check your spam folder. Sometimes it can end up there.
If you don't see it, please check your spam folder. Sometimes it can end up there.
Please wait while we process your payment
Get instant, ad-free access to our grade-boosting study tools with a 7-day free trial!
Learn more
Create Account
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Log into your PLUS account
Create Account
Select Plan
Payment Info
Start 7-Day Free Trial!
Select Your Plan
Monthly
$5.99
/month + taxAnnual
$29.99
/year + taxAnnual
2-49 accounts
$22.49/year + tax
50-99 accounts
$20.99/year + tax
Select Quantity
Price per seat
$29.99 $--.--
Subtotal
$-.--
Want 100 or more? Request a customized plan
Monthly
$5.99
/month + taxYou could save over 50%
by choosing an Annual Plan!
Annual
$29.99
/year + taxSAVE OVER 50%
compared to the monthly price!
| Focused-studying | ||
| PLUS Study Tools | ||
| AP® Test Prep PLUS | ||
| My PLUS Activity | ||
Annual
$22.49/month + tax
Save 25%
on 2-49 accounts
Annual
$20.99/month + tax
Save 30%
on 50-99 accounts
| Focused-studying | ||
| PLUS Study Tools | ||
| AP® Test Prep PLUS | ||
| My PLUS Activity | ||
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
Payment Info
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 confirm that you have read the Privacy Policy and Kids’ Privacy Notice and agree to the Terms of Service.
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.......
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
Sorry, you must enter a valid email address
By entering an email, I confirm that I or my legal guardian has read the Privacy Policy and Kids’ Privacy Notice and agrees to the Terms of Service.
Please wait while we process your payment
Sorry, you must enter a valid email address
By entering an email, I confirm that I or my legal guardian has read the Privacy Policy and Kids’ Privacy Notice and agrees to the Terms of Service.
Please wait while we process your payment
Your PLUS subscription has expired
Please wait while we process your payment
Please wait while we process your payment
Month
Day
Year
Please read our terms and privacy policy
Please wait while we process your payment
The Covalent Bond

So far we have only dealt with very simple, uncharged molecules. For more complex molecules and molecular ions, it becomes important to keep an accurate count of the number of electrons in the molecule. For example, let us make a Lewis structure for NO2-. We have five electrons from N, twelve from the oxygen (six from each O), and one extra electron because the molecule has a negative charge. Therefore, NO2- has a total of eighteen electrons and we should draw the following Lewis structure:

If we had tried to draw the above structure without taking the charge of the ion into account, we could not have produced a full octet around at least one atom. If the ion had been positively charged, as in NO2+, we would count the electrons as follows: five from N, twelve from O, and minus one due to the charge. The total number of electrons is sixteen for NO2+, and the molecule will have a Lewis structure different from that of NO2- because it has a different number of electrons.

To improve your skills in writing Lewis structures, you should draw as many molecules as possible until you feel confident in your ability to draw Lewis structures.
When trying to draw the Lewis structures of charged molecules like NO2- , we encounter the problem of trying to tell where the negative charge is located. Is it on nitrogen or on one of the oxygens? To combat these troubles, chemists have devised the notion of formal charge. Using the Lewis structure and the rules for assigning formal charges, we can assign a formal charge to each atom in a Lewis structure to determine where the charges are located.
Using NO2- as an example, let's discuss how to determine the formal charges on atoms in molecules. First, we must draw the correct Lewis structure. Then, we break all bonds around each atom giving half the electrons in the bond to each bonded atom. All lone pairs remain on the atom to which they belong in the molecule. This process serves to count the number of electrons each atom has in the molecule and is shown in the figure below.

Once we have counted the number of electrons assigned to each atom, we compare the number to the number of valence electrons in the free atom. For example, oxygen has six electrons in the free atom, and it has six electrons in the right-hand oxygen in the . Therefore, the right-hand oxygen has no formal charge because it has the same number of electrons in the NO2- molecule as it does as an atom. The left-hand, singly bonded oxygen has seven electrons-- one more electron than has the free atom. Therefore, this oxygen has a -1 formal charge because it has one more electron in the molecule than oxygen has as a free atom. The nitrogen has five electrons around it and five valence electrons in the free atom, so the N has no formal charge. In general, formal charge equals the difference between the number of valence electrons of the atom and the number of electrons around the atom in a molecule as assigned by the rules for drawing Lewis structures.
Please wait while we process your payment